Is Collier's line about the bible correct?

Well, the exact phrasing is obviously not in the bible that way. Rather than that this was just a quite cynical comment from "Wardaddy" regarding the difficult moral situation they're in. While Collier hasn't lost any sense or morality yet, he is on his best way to that and the war has turned him into a hardened, brutal and cynical person.

So what he wanted to say with this is, that on the one hand they are on a supposedly righteous cause backed by god and all that. And it would surely not be regarded of good Christian morale to run around and "fuck" all those women. But on the other hand, while their cause ultimately seems a good one, they are practically devastating the lands they cross as well and Collier is realistic or cynical enough to know that there have been killed enough innocents by his side, too, all with the moral backing of being on the "good" side, though. He's alluding to the double morale of the bible (supposedly) encouraging war with all it's gruesomeness while still posing other totally unrelated moral limitations.

So I wouldn't take that comment too literal, it is a very cynical comment on the rather muddled moral ground they're moving in the whole time. In addition to that, if I remember correctly, he said that when they were riding the tank and he stood next to Boyd (who didn't have the nickname "Bible" without reason), so I'd guess he also wanted to provoke him a bit with such a rather inaccurate or cynical comment about the bible (which, if I remember correctly, worked, since Boyd was quite pissed at that comment).