Not really, but familiarity with accounting terms and some basic investment concepts helps. The course is designed for NYU MBA students and many of them have already taken corporate finance which gives them a head start. Damodaran puts all of the course info online (notes, lectures, emails to students, etc), though, which allows you to go at your own pace. The emails sometimes contain pointers to helpful supplemental materials.

If you check out the email archives [1], you'll see that Damodaran wrote this in the first message: "1. Preclass work: I know that some of you are worried about the class but relax! If you can add, subtract, divide and multiply, you are pretty much home free… In are you have forgotten your accounting, I have added my version (which would probably not be approved of by your accounting professor) of an accounting class to my website: http://people.stern.nyu.edu/adamodar/New_Home_Page/webcastac... If you want to get a jump on the class, you can go to the class web page: http://people.stern.nyu.edu/adamodar/New_Home_Page/equity.ht... "

[1] http://people.stern.nyu.edu/adamodar/New_Home_Page/eqemail.h...