not with OSMC what you want is Squeezebox server or simular services, im using a squeezebox server and i got players in each room that can play diffrent or synced playlists along with squeezebox a streaming service to my phone so i dont have to use Spotify
two distros that have the server pretty much preconfigured so you dont have to mess around or you could use my guide and install the server on your OSMC installation