Can I be sued for a credit card debt from 2003?

You can be sued for anything, but the statute of limitations on a 2003 credit card debt has likely expired unless it was extended for some reason, such as you making a payment or otherwise acknowledging the debt within the limitations period.  Please note, that while hte limitations period on the debt has likely run, if the creditor had already sued you and obtained a judgment against you, the limitations period for collecting on that judgment has not run.    P.s. even thugh you assert that you never had a debt that high, you have to remember that interest at a high rate is accruing on any balance for a long time, plus your contract likely will also  provide for certain expenses of collection to be added to your debt.