No, likes and dislikes don't seem to be inherited. Lots of people have tried breeding runners, for example, but without any real success.

My villager "Slow" grew up to become a master scientist and a master parent. She was working as an adept farmer when she died aged 87. She didn't become an Elder, but I was wrong, she certainly wasn't my worst villager ever. Her sons and daughters became perfectly good members of village society , without much in the way of extreme likes or dislikes.

RIP, Slow.