Running air conditioning without a decently sized generator--over 2 kVA generally speaking--or a shore power connection is impractical.
It is (perhaps just barely) possible if you have a very large solar setup and a very large battery bank...one or two people here do that, at least on a limited basis. But for ordinary people with ordinary budgets it makes no sense. Open windows with a fan, parking in a shady spot (which obviously doesn't help with solar power generation, but does help in keeping the temperatures cooler), and generally going someplace where it isn't super hot are viable options.
Here in New England, air conditioning is closer to a luxury than to a basic requirement nearly all the time.