Maybe?
I tried to put together a bluetooth setup on a shoestring budget. I used a
(1) "eForCity Universal Bluetooth Transmitter" that plugged into the detector and sent the signal (held in place by a small piece of velcro) and
(2) "Iwoo Sports Wireless Bluetooth Headset" that received the signal.
costing a grand total of about $20 (I didn't mind waiting on shippng from Hong Kong.)
Unfortunately, I found the delay to be too great to make the setup useable. Your milage may vary, depending on your transmitter, your headphones, and your detector. (My X-Terra 705 is "slow" compared to my ancient White's metal detector, but I'm adapted to it.) You could try your luck with the same or a similar setup -- worst case, it's nice to have for your phone or MP3 player -- but I think a small FM transmitter and FM-receiving headphone would work better. Why? It's all analog, so you don't add any delay (like bluetooth does) by converting the analog signal to digital -> sending through the air -> converting back to analog.