One of my friends has a big moho, and carries BIG pots of plants. She even has one of those tomato hanging vine things and gets tons of cherry tomatoes for salads, etc. When they are on the road, the low to the ground plants are stowed in the garage - under floor storage lockers, and the tomato plant rides in the shower I think. I'm sure the productivity of the tomato vine is compromised by being bumped around when on the road, but she still gives away plenty.
For something like a little herb garden, all you'd need would be a plastic dish pan or something similar to carry them when you're traveling, then just hang them back up on the wall when you camp.
Why not if you want to?
Today is a gift, that's why they call it the present.