I've put some thought into this myself because with a little bit of custom software you could do this with a TUT board. So, yes it's possible, probably even practical in the sense that you could make the model do what you specify, at least at speed.
As to whether it'd be practical for stunt -- maybe not. Think how fast the airplane rotates in response to elevator with the airplane stopped. That's because the sensitivity of the airplane's rate vs. elevator displacement is zero at zero speed, low at low speeds, and high at high speeds. So you'd need some sort of a speed-sensitive gain from handle to rotation. Also, stunt planes are generally designed to be quite stable, with way-far-forward centers of gravity compared to any other form of aviation. This should translate into a marked tendency for the tail to weather-vane into the direction of the airflow, which you cannot do with a TUT or anything else unless you add vertical flow sensors to the mix (which you could do with a TUT, if you wanted to go there).
I think that if you did it you'd want to have a linear relationship between flap and handle, and a nonlinear relationship between handle and pitch, to give you very little rotation for the amount of up and down you get during level flight and straight segments, yet still get lots of rotation in corners. This is more or less the "Igor flap" concept, just tunable in electronics.