Though I am not aware of other demographics or areas around the world, for young people in the UK, to pull somebody has become primarily to mean to kiss/get off with/French kiss/snog/make out with someone.
When I started secondary school, the verb for this was to snog. By the time we were all thirteen, this sounded immature. From somewhere, people began to refer to pulling. Now, any other phrase but kiss is answered with noises of ridicule and cries of "What did you just say?!"