Unfortunately they do not, but they do have it for Gameboy and there just-so happens to be a device that you plug into the Gamecube and can use to play Gameboy games on the TV screen. Just an option. There are also other Mario games for Gamecube which I think are more fun than that NES one, such as:
Super Mario Sunshine
Luigi's Mansion
Mario Party 4
Mario Gold Toadstool Tour
Super Smash Bros. Melee