I'm going to say "Yes" but the splitter needs to be the type where all the oins go to the same place, as is pin 1 is the same on all 3 locations etc. Like I read in the comments there might be an impredence issue affecting the radio's modulation when keyed. You might want to think of some kind of bluetooth devise like the Uniden microphone, only problem there is they lack distance.
3's
Greg