Yes, you can do that, as long as you're keeping it in the fridge for the most part. If you're chilling it and then letting it come back to room temperature and chilling again, that increases the chances of moisture affecting the film, so if you're going to be moving around a lot, it's probably better just to keep it at room temperature.
Of course it's best to develop film as soon as possible, but there have been times when I've had to store exposed, unprocessed film for months, and the images are still there.