I don’t think so.
The soundbridge is nothing more than a device which receives a list of available songs, and can select any of these songs to play. So you do not send music to the soundbridge; The soundbridge “asks” for music and gets it.
Practically, all you want is to remote control your soundbridge from your pc. I don’t have a soundbridge, so I have no idea if this is possible at all.
Maybe it has a webinterface? 🙂