TV tropes describes the "cut apart" trope as
Alice thinks she's found the house where Bob is. She walks up and rings the doorbell.
Bob looks up as the doorbell rings.
Alice waits for a moment, then rings again.
Bob gets up and goes to the door. He opens it.
Alice looks up as the door opens... and is face to face with some old lady. She's at the wrong place.
Bob finds Chris on the porch waiting for him as a dramatic sting hits.
It's a pretty common trope in thrillers and action and the earliest example I could think of off the top of my head is Silence of the Lambs, but I wouldn't be surprised if it existed much earlier.