There is no connection between overdue credit cards and applying for a driver's license. You can apply for a driver's license.

If your credit card is overdue, the first thing you have to do is to pay off the debt in time and maintain good credit. If you pay off the debt after the due date, don’t rush to close the account. You can use this card more and make good use of it. Repair your credit card's credit record, and the overdue record will be replaced by a good record, and don't lose contact after it's overdue. In this way, the bank may think that you "ran away", doubt your credit even more, and may even sue you.