Is it possible? Yes. Is it practical? Nope. Not by a long shot.
You would need to open the device up, basically re-engineer it's communications sub-systems, and patch into that some how.
Theres a chip out there that will act as a USB master, and may possibly allow you to interface it. I dont remember what it's called..it's a touch expensive though in the full development form.
You could, with less trouble and probably less cost, get a GPS module from somewhere like sparkfun electronics <A href='http://www.sparkfun.com' Target=_Blank>External Web Link</a> and directly interface to that. Much easier that way.
--Andy P