Is it true that crypto fuck up you GPU?

Mainly depends on your GPU. For example,mining with a GT710 or something of the sorts will definitely fuck up your GPU,if it doesn't blow up.
If you have a decent GPU such as a RTX 20 series or late 10 series (ie: 1080,1660),give it a go. It may not give you a ton of money,but it's somethin at least.
However,be aware that electricity exists. You will have to spend thousands of dollars before mining crypto is somewhat feasible (basically profiting).

TLDR; Probably not.