If anything, I would expect Carlsen's IQ would higher than Einsteins if they took a test, because:
a) Chess and chess puzzles are closer to IQ test questions than the process of writing a physics paper
and b) Einstein has a record of failing an aptitude test, to my knowledge Carlsen does not.
However, this is speculation. Neither of them took an IQ test, so both of their IQ is unknown.
For reference Albert Einsteins iq was 160 and he played chess, but was never a GM...
No it wasn't. The closest thing Einstein did to an IQ test is the Edison test, and he failed that so he couldn't have scored that highly. People’s estimate of Einstein's IQ is wholly made-up.
You are correct, but many experts agree he had a IQ very close to 160. Let's agree he was a
very smart man, perhaps in the top 100 ever to exist.
Einstein was very intelligent, but we have no idea if this intelligence would have been measurable on IQ tests or not.
In the same way the Magnus Carlsen is very intelligent, but we have no idea if this intelligence is measurable on IQ tests or not.
I'm not sure if the 160 IQ estimate is even from experts, as far as I'm concerned it came from random newspapers. The number is wholly made up.