Credit cards can be applied for, but they may be subject to some restrictions and impacts.

First of all, according to the information provided in the question, the personal credit card overdue record has been for 6 years, and the personal credit report has been restored for 5 years. This means that there may have been bad records of overdue credit cards in the past 6 years. Although there are many overdue credit cards, judging from the time point of recovery, personal credit has been restored for 5 years, which may reflect the individual's good credit performance for a period of time in the past 5 years.

Secondly, although overdue credit card records affect an individual’s credit status, it does not mean that you can no longer apply for a credit card. When banks review and approve credit card applications, they will consider a variety of factors, including personal income, employment stability, other liabilities, etc. Therefore, despite having a credit card overdue record, if you have good credit performance in other aspects and have a stable source of income, you may still have the opportunity to apply for a credit card.

Finally, when applying for a credit card, it is recommended to choose a card type that suits your credit situation. Some banks may offer cards specifically targeted at people with poor credit records. The interest rates may be higher or the limit may be lower, but they can serve as a starting point for rebuilding credit. Gradually establish a good credit record by paying back your credit card on time and using your credit card correctly within a period of time after application. In the future, as your credit situation improves, you may have the opportunity to apply for a credit card with more favorable terms.

Extended information: Overdue credit card records will have a certain negative impact on personal credit evaluation. Credit rating agencies generally keep credit card overdue records in personal credit reports, usually based on the specific length of overdue periods. The existence of overdue credit card records for a long time may lead to a decline in credit scores, thereby affecting an individual's credit borrowing ability.

It should be noted that this answer is based on the general understanding and analysis of credit card applications. The specific results will depend on the actual situation of the individual. It is recommended that before applying for a credit card, you consult with relevant bank personnel to learn more about the requirements and conditions, and comprehensively evaluate your credit status and repayment ability to make a wise decision.