is it okay to wash vegetables by soaking/submerging?

I go on frequent long-term road trips, and I don't have access to running water during those times. Is it okay to fill up a bowl of water and just stick the vegetables in there and rub them, take them out and be done? If I wash one veggie after the other after the other using the same water, I'm thinking I'd just be using contaminated water to clean vegetables after the first set.

Any ideas or recommendations? Is the method I'm asking about good enough? I was reading adding white vinegar helps but the articles didn't provide any scientific studies or anything.