Is there any way to use GPIO to tell a radio with a turning knob which channel to switch to?

Want to use a Kenwood TK-805D for a remote base (this is a 16 channel radio), but the problem is that I don't have a way to simulate a knob spin. Does anybody know how these knobs work, and without a mechanical servo how to tell the radio to switch channels?

73
Skyler KD0WHB