By "stone," do you mean a (literally) monolithic slab of stone, or do you mean a collection of smaller stones set in a mortar?

I am a fabricator.

We've done this at my shop a couple of times. can be a challenge as considerable attention must be paid to the structure that is going to support the stone. requires some complicated mitered corners to make it look the best. very possible but takes an above average skill set from all three fabrication trades (measure, fabricate, & install)

also, the hood tends to be a greasy area so you want a very well sealed or resined stone or the stone will eventually darken from oil contamination.