Rhapsody was like this; and although she still likes to be chased, lol, she does stop and let you pick her up now. Also since she turned a year she's become a lot more cuddly. Right now she is curled up against me in the chair. She used to just lay at the bottom of my chair, and be ready to play. . . play. . . play. She's calmed down a lot, and wants to be loved on now.
My little boy, Tiger, he's always been the cuddly bear. He wants to be carried around like a baby all the time, lol. I've heard other people say that the boys can be more affectionate. I don't know if this is true, but it's been true with my little ones.
Good luck!