It's possible, but tricky to say the least!
For starters, I would expect there to be some reflections from lights in the cockpit and the vibrations you mention will mean that the shutter speed has to be increased way beyond the normal 1/focal length.
Take this photo I took from a moving ferry going into Portsmouth harbour as an example:
...OK, so a ferry isn't going 500mph but the subject was a lot closer than the ground should(!) be in an airbourne aircraft, so the rate of movement will be similar I expect and the ferry was of course bobbing up and down on the waves.
It was taken at 50mm f/1.8 ISO 1600 underexposed a couple of stops IIRC and still I could only manage 1/100th. While it looks alright on the web, in print you can see that there is still a little motion blur at the top of the tower. So hopefully it shows you how valuable the shuter speed is.
My advise would be to get the fastest lens you can (DoF wont be such a problem from high up) and a camera with good high ISO capabilities and give it a go.
Good luck with it and if you ever feel the need for a second shooter up there, let us know!!