A friend had an Amex charge card from 1991-1992. Unfortunately she was young and stupid, and her account was declared delinquent. Amex cancelled the card and there was some... Unpleasantness... Until she confessed in a flood of tears, and I lent her the money to pay off her Amex debt. At the time Amex weren't interested in a payment plan - they wanted the lump sum, and NOW!
Fifteen years later, with the events of 1992 feeling like ancient history, and as the sole proprietor of a rather successful business, my friend applied for an Amex card. On the application form she confessed to having been a cardmember, and quoted her account number from all those years ago.
About ten days later, a rejection letter. Since her previous account had been delinquent, and she had therefore violated the terms of the cardmember agreement, it wasn't possible for Amex to approve her application, and it was made clear that future applications would also be unsuccessful.
Amex has a long memory. It would seem that since you have seriously violated the terms of your cardmember agreement, you're probably permanently blacklisted.