Is it fair that I don't feel like I can have a close relationship with my sister?

Basically, she's been a right bitch to me since before high school, although a lot of it was primarily in high school. Hurtful remarks, major put downs etc and I now struggle to make friends with anyone she knows bc I feel as if she's already planted the idea that I'm some controlling stubborn bitch in their head and I've lost friendships because of it (or they're no longer as strong as they were I should say at least). Anytime I tell my mum I don't want to have a close relationship with her (sister) she gets personally offended and says something along the lines of I think she's realising what she's done (which she's said for years) though dad's solution to my problem with her was literally when you leave home you can have as little to do with her as you like. I'm currently living in a different country to her and for the first time in a long time I'm making real friends and am talking to people I've only just met and... idk, is it fair for me to feel like this?