Yes, touching it can cause oceans to boil, add pounds to your waistline, and make your skin break out.

More seriously, there is no real danger. You can read more about it here: http://lowendmac.com/tech/crt_danger.html

I mostly agree with what the article says. The most relevant part for you is: If you don't need to work on the HV circuitry, then you won't be exposing yourself to anything that could even give you an unpleasant zork. To work on the logic board, you do not need to do anything with the flyback, so don't.