No, because in the west debt is not inherited. Wealth is, which is an advantage to the right, but even then the majority of people - even rich don't get that advantage right away.
The big help the not-poor get is parents help their education. Not monetary help (that exists, but the poor get scholarships which in theory makes up the difference), but help as in a background that values education. If your peers and family expect you to get pregnant and drop out at 14 - it isn't really possible to get ahead in modern society the way most of us take for granted.
The current inequality increasing systems in the west will lead to all kinds of equivalent effects. Multi-generational debt etc.