Anything is doable. And while I tend to chastise the "sky is calling falling, need a Dooley to tow a u haul trailer" crowd, automotive engineer or not, this is just silly.
I have a 425hp Charger that could tow 15k probably if the rest of the car was built for it, but it's not.
He!!, I can't even pull up to a parking bumper and sometimes it scrapes going over a speed bump.
Why would I want to tow a 19' trailer with it?
You're obviously only towing local with this setup, I hope, so why not spend the $ you're going to inevitably dump into the car to make it a tow rig and get a beater truck to pull the camper?
BTW you claim to have towed it already. Put up some pics!
And good luck seeing around the camper with the Chargers rear view mirrors, or is there a bolt on for that too? More $ for the truck!