It is possible to tow your trailer with the "right" car. The most knowledgeable person regarding cars as tow vehicles, their hitches, and the trailers they will tow is the Andy Thompson. He writes a column in Airstream Life Magazine on towing and it focuses mainly on cars.
I sent him a message as I saw he used a VW Jetta to tow his airstream to the Alumapoluzza this summer in Ohio and I own a Jetta and wanted to find out more. He was very quick to reply and very helpful.
The website for his company is Can-Am RV Centre (London, Ontario)
. Contact him and he can help you explore the car towing option! He is also on Airforum as Andrew T.