If it is laminated with something like a formica you can paint or remove and replace.
If you paint, make sure you buy paint especially for laminate or it will just come off.
My hubby is a carpenter/ cabinet builder. He has relaminated many businesses including banks. This is not something you want to do yourself if you have no experience. A table top is simple anyone with minimum experience can do but when you have small areas, corners etc it is a different thing.
You will be looking at a few thousand to have it all replaced. Make sure you talk to a shop that does a lot of lamination. Most do just plain counter tops and do not have the experience.
Too bad it is not a lightweight wood laminate...that would be easier to fix.
Good luck, keep us informed, I am interested in the outcome.