Yes. Solder very carefully!
So, where are they damaged.
If the balance wires have completely detached from the battery, this is the hardest repair. You can resolder them VERY carefully to the tab on top of the lipo but the pools of solder are very large and hard to get a good solder joint without a very hot gun (or iron).
If the wires are broken somewhere between the batt and the connector you can just cut and splice, your balance lead will be a little shorter but will work again.
If the connector itself is damaged. You can just splice a new one onto the end, carefully soldering each wire.
I keep several old balance taps around cut off from discarded batteries for this very purpose.
I also have several balance extensions that I keep on hand. I use one side of the connector to hook up LEDs for night flying and save the other one to use for spare balance taps.
Just remember, work very slowly and deliberately. One little mistake and you are going to see a LOT of sparks.