I don't actually bend or wrinkle the paper, but when I was a child I did in fact have this habit of rubbing the edge of the pages of a book, compulsively. I would lay my hand along the top edge of the book and rub the top edge of the closed section of pages of the book while I read. I liked the velvety texture of those closed paper edges, and it became like my reading ritual.
I grew out of doing it, probably because when people started to notice, I felt embarrassed. It was kind of like a stim, looking back on it now. But I still like to have a tactile contact with a book I'm reading -- I don't just hold a book, I like to lay fingers across the page and feel the paper warm up under my fingers. I'm very tactile with books, but I stop short of actually messing up the paper or anything.