I think it is possible as Galileo board is an open source device and Windows Phone 8 is based on Windows NT kernel shared with Windows 8. Unfortunately, compatibility with Galileo has to do with kernel and drivers modifications that could take a long.
We encourage you to try it and share a post with your results in the community; they might be useful to other users
That Is Awesome!
That is Exactly what I was looking for. Thank You. !