I'm thinking of running into someone who I bullied back in high school and wanted to apologize but didn't
Why would you not apologize for being so mean?
Nowadays I feel like the status I had at school prevents me to apologize to this person
It's good that you know the error of your ways, but you are still very behind on yourself for not sucking up your pride and just apologizing. That happened so long in the past, so you need to own up to it and not let petty old reputation stand in the way.
I'm no good at apologizing so I'm not going to.
You should try to at least. If you know that what you did to them was wrong, you should make up for it by apologizing.