I see no reason why it couldn't work. Backwards airfoils don't work? Yea sure, and you can't fly a flat bottom wing upside down either. The CG would have to be way back, probably behind the wing. A tricycle gear plane would tip backwards unless you moved the main gear to a weird looking rearward position. A "taildragger" could look normal and would in fact be a trike. The tailwheel would have to be tall enough to have the fuseilage sit almost level on the ground.
If you made it electric, you could reverse the motor direction for taxiing to complete the illusion.

When I sailed Hobie 14 sailboats, I would occasionally sail the boat backwards as a stunt. I pulled the boom way over center causing the rear of the sail to become the leading edge. I had to hold the tiller with a death grip because the rudders wanted to snatch over one way or another. That's what your servos will be dealing with on the plane unless the ailerons, rudder, and elevator are moved to the other side of the airfoil.

Some wing tip endplates might be able to act as verticle stabs without making the plane look too weird.