Yes, a class 1 hitch is an easy install. I put one on a Saturn coupe and pulled a small utility trailer of about 700 lbs. Easy bolt-on affair.
I have installed a class 4 hitch myself on a Ford van. Also a simple bolt-on affair, with bigger bolts!
The wiring for lights can be a little more involved, however, depending on how the lights in your car are configured. You will need 4 wires - running lights, brake, left turn and right turn. The ground goes through the trailer hitch ball, unfortunately!