Nope, not possible. Well, I mean, clearly it's possible since it's there, but it isn't natural. Someone put it there, on purpose. Someone with powers above and beyond those of the lowly "Player."
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Village Mechanics: A not-so-brief guide - Update for 1.4! Added subsection on iron farming to the iron golems section. Only ten villagers required to spawn golems (down from sixteen)! Put to rest the "facing doors cancel each other" myth!