I actually took my GPS out on a flight from PBI to BOS a few years back and propped it against the window hoping for a signal. After about ten minutes or so I got a good signal. I was amazed when I saw us cruising along around 400 knots climbing through 17,000 ft. Truly incredible.
I shut it off shortly there after just to be safe and not cause concern among the PAX. Although, the GPS is a passive device that "listens" for the satellites, so I don't see any possible way it can interact with the aircraft's navigation systems - especially since I use it to navigate my own aircraft!!