IIRC: the most advanced experiment we have done regards animal reproduction in space is sending frozen mouse eggs and sperm to the ISS. Then defrosting them, fertilising the eggs and allowing them to grow for a week or so. The mouse blastocysts were then frozen again and returned to earth, implanted in a host mouse and allowed to grow normally for birth.
So yes, we are a long, long way from knowing what the dangers of off earth reproduction are.