Sort of. With my Kia EV9 I can use a V2L adapter to run an extension cord for essential items in my home. I understand in other markets there is a V2H connector so you can connect it to your home mains power but I don’t think it’s available in the US

In theory, yes, but they need to have the hardware/firmware to do it. Pretty sure most of the full-size electric trucks do so, but not sure about any of the smaller crossover EVs.

You also need to have the house setup to run off a generator. You don't want the truck power feeding back into the grid. IIRC, that's usually done with a big switch near the main panel.

In theory, it requires ONLY firmware changes. V2G/V2H works by establishing a "fast charging session" that directly connects the inverter to the high-voltage bus. And then it just siphons off the energy from the battery instead of charging it.

Car makers are reluctant to support this. In case of Tesla because of market segmentation.

No, you can't even do it with most other Teslas. Current models will give you 20A of 120V out from the battery, but most don't have an inverter big enough.

There is a model of Ford Lightning that has power sharing and now that resale values are way down it just might be a cost effective home battery that you can drive around during non-emergencies....

Vehicle to Home(V2H) is unfortunately not super common, but it is being added to a lot of newer models this year and beyond.