Yeah, there is several ways you could do it actually. We already have a 'play media' function in the code. I don't remember now but there is a way to popup a preview box and play the media in Terayon and RAWR-Template, via a function/url variable. Play a song, then right click the player, you will receive a link. Then figure out how to use that on page load.
It would be very annoying for visitors though, I am not sure its the best way.
You could also just embed the player somehow on the homepage.