Yes and no. There's an app called TrinusVR that will convert your monitor to a VR image and a companion app on your phone receives that image over WiFi. Problem is, head movements don't register so you have to pair it with a motion capture like TrackIR. So you'd have to build a rig on your VR headset for the TrackIR sensors and use the Virtual Cockpit feature in the sim. I've tried it, it was fun as a novelty but actually made me a little motion sick and I normally have a pretty strong constitution.
I wouldn't be surprised to see some dedicated flying games interface with VR headsets in the future but to my knowledge the only way to get FSX or X-Plane to be a VR experience is to do as I described above. Granted I did this about a year ago so there may be a better way already that I don't know about.
