Yes and no! You should be able to share songs and sets by using the export option from the Song Actions/Manage your set option pages. When it asks how to share the file, rather than picking email, you can use NFC if you have that enabled on your device. Nearby users (also need NFC enabled devices) can receive that file and then import it into their app. If you use the OpenSongApp versions (.ost and .osts) the app will recognise them and try to import them when they click on them. Profiles don't have an export option yet so you can't use that method for them.
I am planning on implementing a 'download current set' and 'download songs' option for Nearby devices (this is pretty much what happens in the WebServer version without the host actually installing those files), but haven't got round to this yet. I will get this done soon hopefully though. I will also add sharing profiles to that option when I get it working. I have to figure out how to initiate it (client or host) and figure out who should give permissions etc.