This is either never or very rarely the case in the developed world outside the US.
In Western Europe such things are generally free.
There may be some rare exceptions where you'd be able to pay a lot of money in the US for some experimental treatment not yet available in the public EU system but this is the exception not the rule. What you possibly won't get for free are non-critical treatments.
I will give one declaimer though that I live in Germany & the healthcare system is not in the same quality/extensiveness throughout the EU (the German system is among the best).