I think it would be hard. In order to do it, you would have to either occasionally or maybe all the time leave the door cracked to let the steam/moisture out. Otherwise, you'll end up steaming the meat instead of drying it.
Another option would be to smoke for 2-3 hours and then move to a dehydrator or your oven on the lowest temp that it can go to dry it out.
Even if you could find a small little box fan or some type of fan that you could lay over the smoke hole that could help pull the moisture out of the smoker that may help. Some have made their own dryers out of computer fans and the like. Essentially that is all the James Jerky Dryers are is a computer fan in a metal tube with a filter.
I haven't tried any of these methods as I do have a dryer, but just trying to give some options.
