Anything is possible...
I don't know what brand roger beep you have, but most I have seen have 5 wires:
Power
Ground
Audio
Transmit x2
Power & Ground are obvious. Solder the Audio wire of the RB to the Audio wire of the mic cord inside the mic base. The
TX portion of the RB goes in series - remove the
TX wire inside the mic and solder to one of the
TX wires of the RB (refer to instructions for proper wire) then solder the other
TX wire of the RB to where you removed the original
TX wire. You'll probably go through batteries quickly with the added draw, so you may want to consider adapting a wall wart instead. If you wanted to add an on/off switch place it in series with the Audio wire on the RB module.