It's highly doubtfull that they will reduce your balance unless you've been missing several payments in a row and they eventually agree to a lump-sum settlement to close out your account (and they would only do this if they saw that you were heading towards bankruptcy).
If your account is active (you are making payments on it), then they see it as profitable and won't likely reduce the balance (otherwise, your account wouldn't be as profitable, and that is their focus... not on your ability to repay, but how much profit they can squeeze out of your account).
I say "highly doubtful" and "won't likely" because... well, anything's possible... just not probable.
Hardship programs are designed to keep your balance from reducing much, to keep your account in good standing and to keep you paying on their terms.
Hope this helps...