Maybe it's just me, but any diseases I contract I want to be able to spell properly.Herpes ( I had to.)
Seriously though, about 2 minutes of research on google answered the question you had. You can in fact have both forms. Having type 1 can lower your chance of getting type 2, but you can still in fact contract type 2 still.
http://www.herpes.com/hsv1-2.html
There's the article I read it from. Enjoy!