The woman asked the victim to pay for her pizza delivery with their debit card, indicating that the driver would not accept cash, police say.
The victim gave their bank card to the driver who swapped it for a fake card during the transaction.
Later, while the victim unknowingly had a fake bank card, their real one was used for unauthorized withdrawals.
Police have reported similar instances of this method of card theft scams previously, including one with a taxi driver and customer.
Investigators are seeking assistance identifying the woman involved in the scam.
She is described as having long dark hair, wearing a back zip-up sweater, blue jeans and white running shoes.
Police recommend contacting your bank immediately if you think you may have been a victim of debit card fraud.