Can I get my co-worker fired?
Why would you go that far when dealing with a co-worker?
I'm just curious whether he notices.
While you are at work, it's expected that you remain professional and have a good working relationship with others at the company. Trying to get your coworker in trouble and get fired is wrong since it impacts his or her ability to earn a living and will significantly harm his finances if you are successful. Instead of sabotaging your coworker's career, talk with him or her about the issues you have and seek a peaceful compromise that will benefit everyone.
I hate him. I do what I want to make him lose his job.
Stop thinking only your own feelings. Just because you hate someone it doesn't mean they deserve to lose their job. If you dislike them that much just avoid them instead of ruining their career.