Can you outgrow friends?

I have been friends with this girl since we were 11 and I know we’re still only young but we’re 16 now and I feel like I have changed, now we’re different. I have made new friends and am making moves in life moving on but she’s still kind of following me intruding in these friendships of mine which she doesn’t certainly fit in and she is acting weird because she is trying to fit in so much. This isn’t being horrible but everything she does makes me cringe. I feel this is dragging me down too. I can’t just ditch her as that would be nasty and she is a loyal friend however I’m ready to move on.

Basically I’m trying to move on but she is following me and I don’t want her to. I feel horrible as she isn’t mean or anything she’s just annoying to me, what do I do?