You can apply for a secured credit card. These cards do not require a bank account, but you will have to make a security deposit. The amount of the deposit will be around $200 and your credit limit will be equal to this amount in most cases. Make sure the card you select reports to the credit agencies. Pay attention to credit reporting to help rebuild your credit.
Disclaimer: This editorial content is not provided or commissioned by the credit card issuer(s). Opinions expressed here are the author's alone, not those of the credit card issuer(s), and have not been reviewed, approved or otherwise endorsed by the credit card issuer(s). Reasonable efforts are made to present accurate information, however all information is presented without warranty. Consult a card's issuing bank for the terms & conditions.
All rates and fees, and other terms and conditions of the products mentioned in this article/post are actual as of the last update date but are subject to change. See the current products' Terms & Conditions on the issuing banks' websites.