Heck yeah man! I did a trip where I didn't bring a stove and sprouted. For my bowl, I used one of those ziploc square bowls with the lid. After dinner, I soaked quinoa in my bowl. The next morning I drained it with a bandana (kept it in the bandana while I ate my cereal out of the bowl) then put the quinoa back in the bowl, with the lid on. I stuffed the container in the side mesh pocket of my pack and left it there all day while I hiked. That night, I had the beginnings of sprouts, which made for a good salad.
As much as I love sprouts, I wouldn't do it again... to much work, not very satisfying - but you should definitely try it!