Yes, you can be declined for a Capital One Secured credit card if you don’t have a bank account, if you have an unresolved bankruptcy on your credit report or if your monthly income doesn’t exceed your monthly rent or mortgage expenses by at least $425. Capital One will also decline applicants if they have applied for a Capital One card three or more times in the last 45 days, have more than two open accounts with Capital One or have a Capital One credit card charged off in the previous year.