If it is a table, the woman's parents were not allowed to go in many places before. It seems that many places in Shandong and Henan have this custom. But it is long gone now, because both parents must be present at the wedding ceremony.
If you mean, follow the groom and take the bride to the man's house, you'd better not. Is the daughter married or the parents married? Parents just go to the restaurant. If you want to see the new house, wait until after dinner. Anyway, the groom can't go when he picks up the bride. There is a saying.