Yes this is possible. The absolute best way to find out how is in the user manual that is available to download as a pdf. All that info and more is in the manual. If you can't figure it out after downloading the pdf let me know.
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 .