Shares & Saves. Save. Businesses are not allowed to charge your debit card without your authorization, but it is a regularly occurring problem. Debit cards are stolen -- or their card numbers are stolen and replicated on another card -- and then used.Fraudulent telemarketers may use deceptive means to gain access to debit card information, then sign unwitting customers up for recurring charges.ebit cards are stolen -- or their card numbers are stolen and replicated on another card -- and then used. Fraudulent telemarketers may use deceptive means to gain access to debit card information, then sign unwitting customers up for recurring charges.