Yes they can:
““The General Assembly of the Bishops and Elders of the Presbyterian Church recognize the Historic Episcopate. They themselves adhere [159/160] to the Presbyter-bishop of the New Testament and the Apostolic times. They find this Presbyter-bishop in all ages of the Church in unbroken succession until the present day. They have endeavored to adapt this presbvterial-episcopate to the needs of the American people, and are ready to make any further adaptations that may seem to be necessary or important, and that do not conflict with the teachings of the New Testament. At the same time, they deem it their duty to testify against any claim of the Diocesan Episcopate to the exclusive right of ordination, as without warrant from the word of God, and as one of the chief barriers to Christian union.”
That is part of the response of the Presbyterian General Assembly of 1887 to the Chicago Declaration of the House of Bishops in 1886 which stated in full:
Adopted by the House of Bishops, Chicago, 1886
We, Bishops of the Protestant Episcopal Church in the United States of America, in Council assembled as Bishops in the Church of God, do hereby solemnly declare to all whom it may concern, and especially to our fellow-Christians of the different Communions in this land, who, in their several spheres, have contended for the religion of Christ:
1. Our earnest desire that the Savior’s prayer, “That we all may be one,” may, in its deepest and truest sense, be speedily fulfilled;
2. That we believe that all who have been duly baptized with water, in the name of the Father, and of the Son, and of the Holy Ghost, are members of the Holy Catholic Church.
3. That in all things of human ordering or human choice, relating to modes of worship and discipline, or to traditional customs, this Church is ready in the spirit of love and humility to forego all preferences of her own;
4. That this Church does not seek to absorb other Communions, but rather, co-operating with them on the basis of a common Faith and Order, to discountenance schism, to heal the wounds of the Body of Christ, and to promote the charity which is the chief of Christian graces and the visibile manifestation of Christ to the world.But furthermore, we do hereby affirm that the Christian unity can be restored only by the return of all Christian communions to the principles of unity exemplified by the undivided Catholic Church during the first ages of its existence; which principles we believe to be the substantial deposit of Christian Faith and Order committed by Christ and his Apostles to the Church unto the end of the world, and therefore incapable of compromise or surrender by those who have been ordained to be its stewards and trustees for the common and equal benefit of all men.
As inherent parts of this sacred deposit, and therefore as essential to the restoration of unity among the divided branches of Christendom, we account the following, to wit:
1. The Holy Scriptures of the Old and New Testaments as the revealed Word of God.
2. The Nicene Creed as the sufficient statement of the Christian Faith.
3. The two Sacraments,—Baptism and the Supper of the Lord,—ministered with unfailing use of Christ’s words of institution and of the elements ordained by Him.
4. The Historic Episcopate, locally adapted in the methods of its administration to the varying needs of the nations and peoples called of God into the unity of His Church.Furthermore, Deeply grieved by the sad divisions which affect the Christian Church in oun own land, we hereby declare our desire and readiness, so soon as there shall be any authorized response to this Declaration, to enter into brotherly conference with all or any Christian Bodies seeking the restoration of the organic unity of the Church, with a view to the earnest study of the conditions under which so priceless a blessing might happily be brought to pass.
This declaration was affirmed in 1888 by Lambeth Resolution 11 (linked above) which subsequently became known as the Chicago-Lambeth Quadrilateral.
The Presbyterian Assembly (above) seems to have accepted the “Historic Episcopate” in the following sense: the office of “episcopoi” or “overseer” as defined in the New Testament is necessary to the Church and has existed throughout the history of the Church.
Certainly the assertion that the “Historic Episcopate” (as Anglo-Catholics define the concept: ie. apostolic succession of bishops descending directly from the Apostles through the laying on of hands) is essential to the Church was and remains impossible for evangelicals to accept…but it is not and was not impossible, at least for the General Assembly of the Presbyterian Church, to affirm the essential nature of the “Historic Episcopate” in and of itself without affirming the Anglo Catholic definition of it. Anglo Catholic’s, understandably, were not pleased with the Presbyterian acceptance of the “Historic Episcopate” precisely because the Assembly challenged the prevailing Anglo-Catholic understanding of it.
The question for evangelicals with regard to the ACNA constitution is whether the third declaration of Article I which states:
We confess the godly historic Episcopate as an inherent part of the apostolic faith and practice, and therefore as integral to the fullness and unity of the Body of Christ.
necessarily asserts an Anglo Catholic definition of the “Historic Episcopate” or whether it allows for a broader reading.
I believe the simplicity and general nature of the language contained in statement mitigates against an absolutist Anglo-Catholic reading. Notice, especially, the failure to capitalize the word “historic” which sets the word in a descriptive category—like the word “godly” which precedes it—rather than as part of the proper name of the established Anglo Catholic doctrine of “The Historic Episcopate”.
The Moravian Episcopal Dialogue has spent some time on episcopal ministry and the historic episcopate. I commend the proposal “Following our Shepherd” for study. The ACNA statement appears to restate the Quadrilateral.