It does depend on how time works in this case, but I'm going to say yes, from your point of view, which is the most important view- there was a person, and you did something, and then that person was no longer alive. It's probably the nicest way to kill someone, albeit a way fraught with ethical concerns and possible ramifications, because it doesn't necessarily hurt people.
If you really wanted to get rid of an unpleasant person, though, I'd recommend instead changing their childhood. Go back and take them on a time travel adventure! I guarantee it will make them a different, possibly even better, person when you get back to your present.
EDIT: All that said, though... Why the fuck are you worried about a single bully? Go and make friends with Jesus or something, your power over time puts you above such issues. If I had a time machine, I'd hop around so much I'd probably forget when exactly my present was, and then stop caring. I'd eventually settle around when holodecks become affordable, and then simulate time travelling because it's probably a lot safer.
If you really wanted to get rid of an unpleasant person, though, I'd recommend instead changing their childhood. Go back and take them on a time travel adventure! I guarantee it will make them a different, possibly even better, person when you get back to your present.
EDIT: All that said, though... Why the fuck are you worried about a single bully? Go and make friends with Jesus or something, your power over time puts you above such issues. If I had a time machine, I'd hop around so much I'd probably forget when exactly my present was, and then stop caring. I'd eventually settle around when holodecks become affordable, and then simulate time travelling because it's probably a lot safer.