Not in terms of class mobility. Yes the floor is higher but try accumulating wealth in Sweden.
Sweden typically ranks much higher on class mobility measures than the USA.
Accumulating wealth is the only way poor people can stop being poor. Of course it's related to class mobility.
A society that emphasises wealth accumulation above all else will have the privileged accumulate so much wealth it'll be nearly impossible for the poor to catch up, no matter how talented or hardworking.
One way of measuring class mobility is looking at your liklihood of finishing your life in a higher 'class' (variously definied) than you started it, or than your parents had. With that kind of measure, Sweden does extremely well. Certainly much better than countries like the USA, which arguably do emphasise making the accumulation of wealth (when you already have a lot of it) easier.