Your credit rinatg should not affect whether you can open the account. To open the account, all you should need is the proper paperwork and a deposit.To get overdraft protection is another matter. Your credit rinatg likely will affect that. The way around it, with some institutions, is to buy a CD with the bank for the amount of the overdraft protection. So, if you think you might need $5,000 worth of overdraft protection, you'd buy a CD for $5,000 from the bank and pledge it as security for any overdrafts should they occur.Good Luck!