Ah. Now I have a dog in the fight, or at least a cousin of the dog. The answer is "No". Ancient canons of the Church do not allow priests to marry. In the Orthodox Church, deacons may marry, but not priests.
I'm pretty sure that the canons of the Orthodox Church do not allow anyone beyond the rank of reader/chanter to marry. Even subdeacons cannot marry, as I recall. One planning to marry is held at the level of reader until after he is married. But I may be wrong.
Again, these are matters of ancient clerical discipline, not of dogma. But they are strictly adhered to, in my experience.
How ancient is ancient? First century?