Partially, yes.
You would need a dynamic Airplane model with collision detection per polygon and an Activation script when entering the "cockpit". The script would have to freeze the player in his own movements and then letting him steer the plane via another keyset (UHJN instead of WASD + two keys for rotation + 2 keys for up / down). If the cockpit is designed so that you can´t fall out when the plane accelarets / decelaretes, you can fly around (no real 3D flying with loopings, just 2D movement and height regulation), however, you would have to manaually adjust the players view with the mouse movement.
In Anderson we had an alien glider that could be flown around in a hangar, so yes, it is basically possible.
