Can I close my Checkings and savings with an overdrafted credit card?

I'm not working because I'm pregnant so I haven't been able to pay my credit card. Its $300 over Balance because of late fees and interest and now I'm getting fees for having a savings account open with no money in it. Can i close my Checkings and savings account so that I'm not being charged anymore money just to have them. Will they let me do that with a credit card that has an overdue balance?

Edit:

I'm not trying to close an account that's negative. Im trying to close my Checkings which has like 50 cents and I'm now being charged for having an empty savings which I also want to close. The only negative account I have is my credit card which is already closed since I havent payed it. I dont need anymore bank accounts and I highly doubt I'd be accepted with a closed credit card.

Edit:

Thanks for the advice everyone. I'm going to go into my bank today and close my savings and keep my Checkings open just so I can pay my credit card off. I'll see if anything else can be worked out!