Do they make an MP3 player that will let me download songs via Bluetooth from my phone?

So in theory if you have a bluetooth phone and a bluetooth mp3 player then you could pair them and if they both support transferring files then it could work.

I am pretty sure the iPod Touch supports bluetooth but not the file transfer protocol via bluetooth. So I think the answer is in theory someone might exist or might be created in the future but if it did I don’t think I would transfer music that way. I feel like it would be pretty slow.