Yes, you can but you want to make sure you extract as much of water as possible when doing so. It's also best to do it at a time of year with the temperature and relative humidity will help dry things completely quickly, but you could also use a dehumidifier. Do be warned that the carpeting in most every camper is about the lowest grade manufactured, so it won't hold up to repeated heavy cleanings especially if you're looking to use a rotary scrubber shampooing machine (versus beater bar).