Yes and no. If you mean "the" map displayed at the main openstreetmap.org site, there is the possibility of designing a new shop icon and then filing an issue with the openstreetmap-mapnik stylesheet (via https://github.com/openstreetmap/mapnik-stylesheets/issues ). Also, you could build a website yourself where you display an OSM view with OpenLayers and overlay that with your shop icons.

Yes and no. If you mean "the" map displayed at the main openstreetmap.org site, there is the possibility of designing a new shop icon and then filing an issue with the openstreetmap-mapnik stylesheet (via https://github.com/openstreetmap/mapnik-stylesheets/issues ). Also, you could build a website yourself where you display an OSM view with OpenLayers and overlay that with your shop icons.