If you close a bank account and later someone try''s to do an automatic withdraw can the bank reopen the account and charge you an overdraft fee?

To get the answer to this question, you'll need to look at the account agreement that you signed when opening the account. In the absence of an express term regarding this matter, the bank might be privileged to pay (and hold you liable for) a recurring debit that was authorized by you during the time the account was in "open" status.