Yes, in Cancun you can find a lot of big super markets like Wal-Mart, Sam's Club, Costco, City Club, Chedraui, Soriana, Comercial Mexicana and Bodega Aurrera. The most popular are the Wal-Mart and Chedraui, both are located in downtown Cancun. Also there are hundreds of convenience stores all over the city and the hotel zone like Oxxo, 711, Extra, SuperCity and Modelorama. All the super markets honor credit cards, some Oxxo stores takes debit and credit card.