it is possible he was born with a kink in his neck. There are many animals that are healthy and function normally, even if they are kinked.

I wouldn't immediately think "broken neck" if he's moving around. Has he eaten for you yet? (if not, you should make sure he is eating for you before handling him any more for at least 7 days).

If you post some pictures someone may be able to give you a little more info.