Yes absolutely possible. As a general rule, keep your bank accounts tied to the cards open so that you can still do the transactions via those. And of course, keep paying your bills at least the minimum amount (not recommended as it will accrue interest) or ideally pay it in full.
You might need to transfer money to those accounts from India to be able to pay off the outstanding amount in full. An easier option for this would be to to tie your US bank account to PayPal so that you can withdraw money to the US account from your PayPal id.