This one requires a tiny bit of prep. What you need is a box. And in that box is a collection of limes. Lots and lots of limes. Make sure they’re fresh! Then approach the girl in question, and this is the smooth part. Say “Hi, my name is..” and then drop them, interrupting yourself. All over the floor. Let go of the box and let every single lime hit the floor. Begin to pick them up, and assuming she is a lovely person, she will pick them up as well. Reach for the same one she is reaching for and when you touch, she’ll look up at you.
You then say “Sorry, I’m terrible at pickup limes”