Earlier quoted context omitted.
Good luck getting money from a stone!
I'm not sure what you mean, but if a debt goes to collections that ends up on your credit report. It's not like you can just ignore it forever.
I obviously don't endorse this, but in the US you absolutely can ignore it forever as long as it isn't student loan debt. Anything else large enough to sue for can be discharged through bankruptcy (which is comically simple in some states), and debts below that[1] will fall off your report after 7 years.
Your credit will tank for a bit, of course, but otherwise there are no real consequences.
1. I think FICO even has a minimum amount for negative items and doesn't consider medical debt at all, but don't quote me on that.