Depends how it was installed in the first place.
If your sink's ledge sits between a piece of wood and your countertop then you are pretty much farked
If it's just held on by silicone and mounting screws at the bottom, then you got a chance

I doubt you can remove the countertop without destroying the cabinet
Are you asking because your sink has a problem or is this just a precautionary step just in case something happens in the future?

This post has been edited by idoblu: Aug 6 2015, 04:25 PM

Hmm...I remember seeing some rust remover or something like that at Ace Hardware
Never heard of Sorextx. Even name brands like Franke, Teka, etc also scared. Nowadays stainless steel cannot be trusted
Just hope for the best.