Possibly, but only with a lot of luck and some autopilot assistance. Amateurs have landed smaller private planes after the pilot became incapacitated, but outside of 1970s disaster movies, it has never happened with a commercial passenger aircraft.
If you're like most people, there's a thought that runs through your mind anytime you're checking into a flight, passing through airport security, changing terminals at the last minute, trying to sort out a missed connection, or standing close to anything an airline has touched: "There has to be a better way to do this." And you would be right. Southwest Airlines took a big step toward the future of commercial flight this week by implementing GPS satellite-guided landings.
For the FAA, it's not the flying that keeps regular joes out of the sky. It's the landing and the navigating. Dealing with air traffic control is so attention consuming and complex that large planes require multiple crewmen, and single-pilot planes have significant restrictions and where and when they can fly.
However, a new flight management system (FMS) created by GE may automate so much of the navigation and landing that commercial flights could use only a single pilot, and the rest of us could get cleared to use flying cars.