Is it possible to operate a small house solely on solar power in New England?

I'm hoping to build a 950-square foot A-frame in New Hampshire and am wondering....would it be possible to have it completely powered from solar power? I admit, I'm a moron when it comes to things like this. I'd actually be open to any "alternative" energy source that I wouldn't be paying a monthly bill for...geothermal, wind-power, etc and would be open to supplemental heat in form of wood through the winter. I guess my bottom line is would it be possible to build a small "green" home in New England that doesn't require a monthly oil/propane bill or a monthly electric bill?!