Is it possible for users to upload music into their own gallery that is accessible from their profile? So each user can have their own personal music gallery where other users can browse music profiles?
As far as Coppermine is concerned, music files don't behave differently (compared to other multimedia files). If you (the admin of the gallery) allows this, your users can upload music files. Currently, there is support for the file types mp3, midi, mid, wma, wav, ogg, ram, ra and rm built into Coppermine. Other file types could be added easily. However, you might run into timeout issues when http-uploading large music files due to client and server-sided restrictions.
Please refer to the documentation for details.