With the technology we have today? I doubt it.

If the money and political will for it existed, we could definitely pull off some kind of quasi-self-sufficient city here on Earth, however. There would have to be an enforced population cap, which most Americans would go apeshit over, so it probably wouldn't work in America as it exists today. It would still have to rely on the outside world for some raw materials, and making its own air would be laughably unrealistic, but the basics could be handled locally.

Renewable power generation, aquaponic food production, heavy investment in waste recycling, completely optimized pedestrian/bike paths and an internal mass transit system so no one needs a car, hell even some local manufacturing of certain widely used and easy to make goods.