Sure it can fly!
BiZZO -
Sure it can fly! If Boeing's/USAF's prototype airplane known as the (Klingon) Bird of Prey can fly, then so to can the Testor's F-19.
I would however cheat just a little on the wings by ten percent (as in making them larger and decreasing the negative dihedral). Gyros for sure on roll and yaw axis. I would "straighten" up the verticle stabs by a few degrees and flatten the conards also. But not so much as to distract from the original model kit's design.
Heck, you could probably to the same thing with the Roswell UFO/lifting body model kit with the required modifications for engine inlet/tail pipe.