Yes absolutely, just place your finger on the name of the fixture you want to delete and swipe to the left of the screen you should see the delete button.
When you block a person, they can no longer invite you to a private message or post to your profile wall. Replies and comments they make will be collapsed/hidden by default. Finally, you'll never receive email notifications about content they create or likes they designate for your content.
Note: if you proceed, you will no longer be following .