I can't see why anyone would want to sit in 1K if they were travelling on their own, and a stranger came and sat in 1A.

Especially if it's a girl that's in 1K.

I suggest you go up and to seat 1A (am assuing you are a "he"), and act really gross, pick your nose or start scratching yourself. Then invite her to swap with your friend in 2A. I'm sure she will move quicker than you can say "feed me while we taxi".