Yes you can, It sounds like you are in a sticky situation, but for what ever reason you can get a loan without a bank account. You may get what they call a Secured Payday Loan. Which means you will have to put up Collateral for example any material posses ions that you may have to put up as Collateral in order to secure the loan. Gold, Car, Kids (he he) or anything that would be of the equivalent value to the loan, So that if you do not pay the loan back as agreed, they will claim your stuff, sell it how they will to pay the money that was loaned.
Good Luck!