Water can be cooled ‘naturally’ by evaporation:
If the water is in an insulated container, and evaporation occurs on the surface, it will cool down.
Carib Indians used a ‘purun’, which is somewhat porous clay pot to cool water, in the path of a good breeze. The purun(pot) ‘sweats’, actually it is seepage, and the breeze evaporates the moisture, cooling the puru/water within….seen it in use..very effective.
Any other form of natural or forced evaporation will cool water.
Cooling by refrigeration, using a ‘servel’ system does not need electricity, but kerosene, propane or other hydrocarbon as fuel.

You could use the method of evaporation in a dry environment. The container to be wrapped with thick wet cloth. The process is slow though.

A hamster wheel with a small fan blade attached at the axle. The propeller from one of those wood model airplanes would do it. The type that’s powered by a rubber-band. If you really want to get tricky you can use gear-reduction to redirect the fan (you know, so it’s not straight out from the side of the wheel) and, also, to increase the speed of the blades. You, of course would want to put a hamster (or some other small rodent) in the wheel.
Or you could just blow on it.
Or leave it outside tonight (I’m assuming the water is in a bowl).