@Korvo
I am sure that quite a few honest, devoted people would accept to do that, if they could.
But all of us are indebted to some other people, like parents, relatives, friends, mentors, teachers, etc., who cared for us, fed us, educated us, supported us and gave us the opportunity to become responsible adults, and we cannot always pay those back who cared most for our welfare.
If coming back to more material matters, there are many kinds of debtors:
https://en.wikipedia.org/wiki/Debtor
https://en.wikipedia.org/wiki/Debt_bondage
https://en.wikipedia.org/wiki/Poverty_trap
and Saint Peter is rather referring to sins and crimes, than to "debts" as a consequence of poverty, diseases, handicaps, disasters, wars, etc.
Doesn't the Lord's Prayer refer to forgiving?
According to Matthew:
'Our Father in heaven, hallowed be your name. Your kingdom come, your will be done, on earth as it is in heaven. Give us this day our daily bread, and forgive us our debts, as we also have forgiven our debtors. And lead us not into temptation, but deliver us from evil.'"
And:
http://www.patheos.com/blogs/jacksonwu/2015/03/26/why-is-sin-considered-a-debt/
https://en.wikipedia.org/wiki/Sin
It is true that the children and successors must often pay for the debts, sins, crimes or even for the unfortunate loss of parents, predecessors, kins, etc.