Yes, but they can make it some part of the way up, putting their kids in position to go a little higher, and so on. Success is largely social, a multi-generational task, which is why parents push their kids so hard: college, and then elite college, is the main step that breaks the cycle. Maybe gen 1 goes to Stanford and joins a FAANG. It's gen 2 who will have the CEO uncle and a shot at founding a FAANG.
A simple and straight forward solution is that every job is required to have a union available by law, we remove most of our inequality to the point where fighting about who has multi-generational privilege is no longer an issue. One step further is worker ownership of the company they work for. Example, instead of being publicly traded, Facebook should be owned by the people that work there, 1 share per employee. It would result in a much healthier environment and less psychopathic corporate behavior.
Hence the momentum to address the monstrous differences in opportunity that have been created after many, many generations of treating particular groups of Americans as second-class if not outright sub-human.
And it seems weird to want to pay back a debt racked up by an ancestor. Or not even an ancestor, just an ancestor of someone who looks like your ancestors. Anyway, I don't think you help oppressed people like that, I think you help them by going in there and teaching and being positive about the real opportunities available - to go to college, get a job, earn a living. Live in a bougie neighborhood, maybe.