No you don't require a Twitter account.
Thousands of people.
Twitter.com is a social networking site. Originally used by businesses etc, to post important status' pertaining to their line of work, to allow their co-workers to read what was going on. Now,...
Log in to Twitter, go to settings and then the "connections" tab. Click on "revoke access" under Facebook.
Go to the Twitter home page and click on "sign up"