Yes but they are not easy to find. As a starting point I would have a quick read of these two questions and answers on our site under our 'Ask A Question' section on bankruptcy and bank accounts. You will also find other peoples questions and helpful answers relating to your query:

Bank accounts for bankrupts, are there any?

Where can I get a bank account?

Yes, but your bank may ask you to switch to a new basic account which would have no overdraft or credit facilities. Your current bank account may be frozen shortly after you are declared bankrupt for them to confirm that your income and expenditure is as listed on your bankruptcy forms. At this stage your bank will advise whether they wish you to downgrade to a basic account or whether they would like you to close your account and bank elsewhere. Some high street banks are more willing to give bank accounts to bankrupt people than others. Shop around locally and you will find a bank that will open a basic bank account for you.

This question has been answered by Christians Against Poverty, a leading debt charity offering hope and a solution to anyone in debt.

I AM GOING BANCRUPT AND I NEED A BANK ACCOUNT FOR THIS