Yes, but acceptance is on a case by case basis.
The mission of the Academy is to provide a challenging foundational education in Orthodox theology to members of the canonical Orthodox Church (usually referred to as the Eastern Orthodox Church). That means, members of the Orthodox Church who are currently members in good standing.
If a non-Orthodox Christian, or a member of a non-canonical Orthodox group or church (that is, one not in communion with the worldwide Orthodox Church) wishes to take courses at the Academy, their case must be submitted with a letter explaining the reason for wishing to be admitted, the relationship they have with the Orthodox Church and Orthodox Christians, and the purpose of seeking an education in Orthodox Theology. The decision of the Board will be final.