Is it possible to have a credit card with truly private transactions? The lender (GS) has to pay the merchant (Walmart) in your behalf. How can they do that wit

Is it possible to have a credit card with truly private transactions? The lender (GS) has to pay the merchant (Walmart) in your behalf. How can they do that without the transaction data? And if you want to dispute a charge, how can the lender allow for that if they don’t know the transaction belongs to you?