Can I use stick on tiles behind my cooker?

This is no problem providing all the grease is completely removed

Yes.
If you have a gas stovetop, it is advisable that you have some space between the tiles and direct fire. A clearance of at least 20cm to be safe.
Lots of people have used it behind their gas cooktop and have no issues with it.

I’d not recommend this as there’s too much heat! This will not last! Also a fire hazard! Your best best is to tile using a flexible adhesive and grout