Assuming that you can't get the drive replaced under warranty (unlikely in this case), then your chances of fixing it are heavily dependent on how good you are with a soldering iron.
If you look at the underside of the drive, you should be able to see where the pins are soldered to the PCB board. You will need to remove the solder on the snapped off pin (i suggest using a desoldering pump), find a replacement pin (off of an old broken drive maybe) & solder the new on onto the PCB.
If you can't solder well yourself, find someone who can & use a low wattage soldering iron. Make sure though that you protect the PCB against static damage etc & do not under any circumstances open up the drive itself.