I suspect you mean the Luchuirp golems, then no they can't be enchanted by spells from mages or priests. They can gain special promotions from 3 unique buildings when they are built, giving them fireballs, hidden and the ability to see invisible.
Flesh golems are different, and although they can't be enchanted directly either, they can pick up all the enchantments that the sacrificed units had. So for them enchanted blade and shield of faith are useful enchantments that they pick up by an indirect method.