Can chemistry help you to forget?

In the film Eternal Sunshine of the Spotless Mind, Joel (Jim Carrey) is very hurt when his girlfriend Clementine leaves him. He is astonished and depressed when he learns that she actually underwent medical treatment on her brain to remove memories of him! This film is definitely in the science fiction genre. For example, the medical apparatus used to remove the memories looks like it came straight from a fantasy comic strip. Putting the weird machine aside, is there any modern scientific basis for the concept of the film; is it possible to remove troublesome memories using science and technology?