Does renesmee grow up and fall in love with Jacob?

After Bella's baby, Renesmee is born, Jacob 'imprints' on her, the way werewolves fall in love at first sight with a woman. But just because he imprints on her as a baby, doesn't mean he has an actual relationship with her until she is of the same age. Jacob can't stay away from her though after he has imprinted on her.