Stand-alone stovetops I’m familiar with want to be supported at the edges, basically hanging in a hole above the oven (or whatever). I would be surprised if they could be damaged by being placed directly on a flat surface, but it is possible that doing so while actively using them would hamper cooling.
I would suggest looking at the installation manual for the particular stovetop you’re thinking of. Specifically look for required bottom clearance. If it’s more than the depth of the thing below the countertop, then you’d be using it in a way it wasn’t intended to be used… it might work or it might not. If it doesn’t require a certain clearance distance on the bottom, or if that distance is just the distance from the lip to the lower extent, then you’re presumably fine.
Incidentally, there are induction cookers which are explicitly standalone and intended to be placed on a flat surface. You’ll recognize these by how they come with plugs fitted, don’t have a flared top surface, and have rubber feet on the bottom. I would suggest looking for one of these.