It will depend on the search engine. If you mean the small search box on osm.org, that is a simplified version of Nominatim and it won’t get you very far.
It is a general weakness of reverse geocoders; most of them will return the nearest street.  There is usually a misunderstanding: raw OSM data is there a geographical database, not as a business directory.
I know that some people are developing this kind of bridge, to use relations that group objects together, so that it might be easier to get the exact address of any point on the map.  No idea when this will be available to all, sadly.
Have a nice day.