Yes there is. I have three separate Skype accounts for different things - very useful.
Open Skype - Click File - sign out.
Now open Skype again and you should get the sign in page.
Click the 'don't have a skype name' link and it will take you to the registration page. Use a new id and preferably a different email address.
Don't forget you can 'block' ids in Skype so they can't contact you. If they are in your 'contact' list, right click on the name, and click 'block this user'.