No mains water. No mains electricity.
Camping & caravan equipment? Feasible but not intended for heavy or very frequent use and you still need electricity or gas to power it.
Noel’s suggestion – using more robust fittings designed for mobile catering – is better, though you still need fuel at least, and a lot of catering-vans and the like do use small generators and bottled-gas.
Now, where is the water from? Rain-water collected in butts from the roof (not much use in a long dry spell when anyway it will stagnate rapidly), or do you take containers of tap-water to the site? Either way, the water should not be considered potable unless boiled before use; for the latter because disinfecting the containers properly between fills is difficult.
Perhaps the simplest solution therefore is to use as Duncan suggests, alcohol-based cleanser, perhaps augmented by a simple 12V or foot-pump feeding water to a spout over the sink. The water does not actually need to be hot to wash your hands.
Though the engineer you knew might have added “…and after…”