Pretty much ANY car can tow 1,000 pounds. I've towed a Hobie 16 and 18 with a Ford Escort, Toyota Corolla hatchback and VW Rabbit diesel. I've towed the Prindle 18.2 with a Nissan Sentra. All of these cars had 4cyl 1.6ltr or smaller engines with around 100hp (actually torque is a better indicator for towing ability). They all did the job just fine.

I WOULD HIGHLY RECOMMEND that you install an after-market transmission fluid cooler on the vehicle though! You can buy them online and they're easy to install. Just mount it in front of the radiator, connect the intake and output tranny fluid lines and add more tranny fluid to make up for the increased hose and radiator length. It's the transmissions on these smaller vehicles that suffer when towing and keeping the fluid cool goes a long way into making the tranny last.