Lately I have been having the urge to rig my company's ticket giveaway so one particular employee does not when it
Why would you want to make sure that employee doesn't win?
To remind him he's not as lucky as he thinks he is.
Not sure what your issues you have with that employee, but it's unethical and probably illegal to fix a lottery so that one person is more or less likely to win. That's lot of risk to take on just to prevent an outcome that is already highly unlikely.
That's my business and I'll do what I like
I highly recommend that doing this, it could get you in trouble within your company. If you're trying to teach the employee a lesson, there are many other ways you can go about doing this.