Note that while many smaller non-inverter generators have a 240v outlet (my old 3300W Generac did), few inverter generators of any size do - that few that I've seen with a 240v outlet were (like 7000W+).
I used that Generac here and there for three years to cover our well, two refrigerators, one freezer, and occasional other small loads... and no, it didn't run all of that at once; if we needed to run the water, I'd have to disconnect the fridge/freezer loads and let the well run on its own - flush all the toilets as necessary, refill the dish tub in the sink, and a big drinking water jar, then wait a couple minutes for the well to turn off, and reconnect the fridge loads. It was cumbersome but it worked, and the 3300W unit was much less thirsty than a larger unit that would've run it all together.
(We use a whole house battery/solar system now, no generator - yet. I'm considering adding a generator for winter power failures to top up the batteries...)