It depends what you mean by rich. Even poorer families are rich compared to most of the rest and even compared to the richest people 100 years ago. What if someone is born with poor parents but has great natural skill and talent and goes on to make millions? Was he born rich or poor? Poor dad rich dad...read that? A child with poor but loving and nurturing parents may lead a richer life than one with rich but terrible parents. A child born in a free society may have more chance of becoming rich than a child born in a communist or totalitarian society.
Many people seem to rue that capitalism causes injustice, that it reinforces inequality. But every system has had inequality and in fact, it’s an inescapable part of reality - some people are better at some things than other people, people look different, so as there character.
Also, let me point out that children do not just spontaneously appear. They may not have had a say in their coming into existence but their parents did. Are adults randomly rich/poor? Or does it depend on their skills, occupations and life choices? If your idea is to take money from rich parents to give to poor parents, bear in mind that you are taking away hard-earned money as a punishment for success. And by subsiding poor parents, you’d be encouraging people to have children they may not be able to afford independently.
Anyway..God knows the best