I say yes, but you will be limited to how much weight you can add with camper cargo and passenger cargo. There seems to be similar floor plans out there for a few hundred pounds lighter. You will get many different answers, but figure between 500 - 1000 lbs cargo added to the dry weight, depending on you and how you camp.
Our camper is about 3800 lbs dry and loaded up we are close to the limit. At one campground, I saw a PF towing an even heavier camper than ours and the guy came up to me happy to see another PF being used to tow. He seemed content towing and had even taken some serious multi-state trips with his camper. We go about 250 miles max to camp.
There are lots of discussions on this topic and many more on camper forums regarding how much a tow vehicle can tow, what can tow what, etc. Some people will tell you you'll be ok, many others will tell you anything less than a full size truck to tow is crazy. In my opinion, keep everything under the rated limits of the vehicle and expect to drive very carefully when towing and you will be fine. Those limits are towing capacity, tongue weight, axle weights and overall weight. You'll need a special scale for the tongue weight and all the other weights can be measured at a vehicle scale. I did mine at a truck stop on one of our first trips with the family and camper all loaded up. I also swear that the weight distributing hitch is a must and has to be dialed in properly, as well as the brake controller set up properly. Unfortunately, this process take patience and time, and can be a lot of trial and error. I think I broke down and set up my hitch 3 times before I was really happy with how the PF felt towing the camper. Anyways, good luck.
Last edited by gotime88; 12-25-2016 at 11:51 PM.