You mean the old single advance point and shoots? It might work. I'm not sure where you'd find one that was reusable these days. Most of the ones I've seen are disposable one-use models. But, I can do some looking and I'm sure you're looking, too. So, we should find something. Just remember that the camera plus all the little rolls of film will take up more room in your pack than just a digital camera.
I'm still fiddling a bit with the power source for the machine. But, when I get that set, I might be able to adapt it for something smaller, like a camera. Just don't tell anyone. I don't think I can manage to power all the little devices they'll want to carry around if they find out. Your pictures are important, though. People need to be remembered.