You sure can get another phone. The best way to do that is to buy a phone that will work on the Verizon system off of Ebay. Then, take that phone to your local VZW (Verizon Wireless Store) and have them switch your service over to it, a ESN change is all that is needed.
You can buy refurbished phones off of ebay without a contract or having to activate it. JUST MAKE SURE IT CAN BE USED ON VERIZON or you will be stuck with something that does not work
And, depending on how much your current phone is damaged (broken pins) they may be able to do a phone book swap too.