I am in my thirties. The only time I have ever come across the phrase make time was in Catcher in the Rye. I have never encountered a person of my generation using that term. Instead we use such phrases as: making a move, hooking up, making a play for, and so on. So, in a book published in 2003, if woman who is supposed to be in my age range asked a guy why he was trying to make time with her friend I would expect first, to learn that she had a fetish for fifties slang and second, for the person she was talking to to comment on the phrasing.
Obviously I don't know if this phrase was the author's choice or some strange editorial substitution, but stuff like this is so distracting. (And okay this book is not otherwise grabbing me at the moment, but I feel like possibly a generation check needs to be done on some of these books.