Of course it is possible.
If you buy a house outside and plan to live outside, you can open another household registration book by yourself. Or if you get married and do not continue to live with your parents, you can also choose to get another household registration book by yourself. , after all, if the family is separated or something, it will definitely be possible for the son to get a separate household registration book by himself, but he should just go to the relevant department to get a copy of your family's household registration book and ID card, etc. to apply for it.