Sure you could .... but to find something you would need to have the tile in question so you would need to calculate the tile to retrieve, and then find the object at the location (which is roughly equivalent to rendering the tile).

Doesn't seem to make sense when you can just run a nominatim or photon instance locally. Not to mention that currently you would typically have to add additional address data to the mix to get the quality of commercial geocoding services which makes the doing it via tiles even less attractive.