In fact, sometime in the late 50s, either Ken Williard or Bill Winter converted a Veco Brave to single channel RC, using a K&B 09 or 15. Whichever did it, he made both wing panels the same length, built the rudder with a hinge and installed the torque rod to let an escapement operate the rudder. He built the wing with about 6 or 7 degrees dihedral. Remember, Rudder Only. he would then put on shows where he would take off with a single control line wire attached to each wing tip, fly around in a circle for a couple laps as a tethered plane, then "accidently" drop the inboard wire, after which his assistant would take over control with the hidden transmitter. The original conversion of the Nobler to RC was covered in an American Aviation Modeler, after which Top Flite brought out the kit. Model Aviation still lists a plan sheet to convert Lew McFarland's Shark 45 to RC. I think Brodack models has an updated kit for this plane. Numerous issues of RCM have had articles on converting profile control line planes such as the Flite Streak to RC. For a while, Goldberg Models had a profile P-40 control line plane for 15 sized engines that had a section in the plans showing how to convert it to RC. Many of the Berkely scale kits were listed as multi-function, and could be built for RC or Control Line, and even Free Flight.

Not only can it be done, it has been done.