No. There are things that CAN be done, but it's messy, and probably not cheap.
You don't want to do that. Scanners are actually horrible receivers, and if you have a REAL low band base radio, that's what you want to listen to.
The proper way to handle your situation is to configure the base station for wireline operation, and then use two wireline remotes, one for each half of the operation. That way, both dispatchers hear each other, and bot transmit and receive off of one base station. There's one antenna on the tower, and of you need a PA feed from the radio, you can tap off the wireline and feed both transmit and receive audio to the PA.
Wireline remotes are relatively inexpensive, too.