Is it normal if i wish my sister and i were different?

So any girl who has a sister knows exactly what I mean when I say "I hate having a sister!" Yeah I don't mean it like 100% but there are moments that makes you go to that point. It's a sister thing. The thing with my sister and I is we are not that much different from each other which you would think would make our bond stronger but in fact, it makes us resent the other more because its like a competition all day every day. I wish we were total opposites so there was nothing to compete with. But we have a lot of similarities and sometimes we accuse the other of copying or just envious/jealous of the other. I'm younger than her by like 3 yrs but I do feel more mature than her in some aspects. For ex., I'm not the jealous one but she accuses me of being jealous and it can really get to me where I just wanna strangle her. One of our differences is that she is more sensitive as opposed to me being emotionally stronger and sassier. So she'll start accusing and if i say something, she starts crying and whining as if she's striving for attention from pple to feel bad for her and so on. She acts innocent when really, I feel like she only portrays herself that way so pple look at her as the good sister. But in reality, she's done real awful things to me and she's told our family that I'm the one who's the total bitch to her. Just because I'm a little tougher doesn't mean I'm automatically the bad one. And just cause I'm more sassy doesn't mean I'm not sensitive and dnt have feelings. I just deal w them differently than her. At the end of the day, its annoying to have a sister who is always trying to compete and accuses me of copying her when its just we have things in common including goals, style, and taste. I wish I can just change myself but for what? for her? No. It sucks being really similar. Being away at college was actually really good for us. I was doing my own thing and she was doing her own thing without the other getting in the way. And now that I'm back, it's annoying how we watch our every move. Like I said, she's the jealous one and I'm just more understanding that we have things in common rather than seeing her as competition but that's how she views me.