Solar power I can see, with local battery storage. I wouldn't call a diesel or gas-powered generator as "off-the-grid", as you're still reliant on a "utlity" company to furnish your energy.
I don't know if he's still there or even still alive, but I met an older fellow several years ago while hiking in the Adirondacks that was powering his remote cabin with solar/battery backed up by a generator that ran on wood gas. He probably had to buy a quart of oil every now and then, but I don't think that rules out being "off grid". He didn't have satellite TV, just OTA and cell phone Internet, but from the size of his setup I think he could easily have supported sat TV if he wanted to spend the money. "Off grid" by most definitions means being off the utility power grid, not necessarily totally isolated from the rest of the world.