Not if you believe in literalism
If (as many denominations teach) the written text is the literal Word of God, then how can you place a copyright on it? If, however, the printed text represents the (copyright-able) work product of the translators, then wouldn't you have to admit that the text is the word of them?
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I can't be a Democrat because I like to spend the money I make.
I can't be a Republican because I like to spend the money I make on drugs and whores.