OK, got it.
If the buttons are not programmed, they'll just beep.
Since the radio belongs to your employer, you -really- should talk to them about this.
The only way you can fix this would be to purchase the software (expensive) and programming cable ($100 or so) and change it yourself.
Issue is that it's entirely possible that whoever programmed the radios put a read or read/write password on them. If that's the case, you'll be out a bunch of money on software and cables.
If it's a trunked system, you won't be able to do anything without system keys, and you won't get those except from the system owner, and they usually don't give them out.
So, short answer is no, you probably won't be able to fix this on your own. I'd recommend talking to your employer about this. It's not entirely uncommon for occasional changes to be made to radio systems, so it's possible that at some point in the future they may have to reprogram your radio. Asking them to fix this might be something they could take care of at that time. Also, some systems will do "over the air programming". If your system has that, they might be able to just reprogram your radio over the air without putting hands on it.
Either that, or get a carry case for the radio that covers the buttons. That would address the accidental keypress issue and wouldn't require messing with the programming.