What doesn't pay well is zero-effort required jobs like Starbucks barista or social media influencer (is this even a job?). If anyone can do it with no pain required to pass some sort of schooling then it's not going to pay well. Nursing pays well because people are too lazy to make it through 4 years of schooling.
If you're going to come in and claim life circumstances prevent people from getting a 4 year degree, a public school costs at most $120k including living expenses for 4 years. Even if you get _no_ financial aid - which doesn't happen as FAFSA exists - $120k is an entirely manageable sum to pay off over the course of 20 years. And that calculation assumes you don't work at all during summers or during the school year.
Where are you getting this number, that is not even remotely close to any of the nurses and lower level health practitioners I know
in Germany even if you're poor you can go to the University and succeed
my friends all studied and they were from normal working-class families
everyone gets a chance and all you need is put some effort
Except in the US there are enclaves of destitute poverty, generational poverty, extreme levels of incarceration, job prohibitions for low-level convicts (which can be 1/2 the men in some areas), high crime, schools with low graduation rates, weak access to things like dental care, poor transit options for medical care, pollution, insufficient care for the elderly, lack of mental health care, opioid addiction, children with high rates of lead poisoning, etc. Those people have the deck stacked against them.
you'd need to study 3 years to get your Abitur, however (which is only 1 year more than Gymnasium folks would)
ps. this may be different by state
The problem is that most people don't get to choose. There are few of these high paying jobs, so by definition most people are excluded. Either because they're not "smart" enough to get into elite training programs (e.g. medical school) or because they don't have enough money to spend years in training with zero or negative income.