No it isn't okay. They can not be refrozen anymore then our own meats we eat. Sorry.
Actually, nothing has been proven whether its bad or not. People have done it, I have done it, people will continue to do it, and I'll probably do it again. And I've never had an animal die from it. And I've owned in the hundreds.
But it all depends on what animal you are to be feeding, how long they were thawed for, and what temperature that they actually rose to.