Can collision happen on half-duplex switch port? How?

Let's say PC A and PC B are connected to a Switch on port fa0/1 and fa0/2 respectively. I set port fa0/1 and fa0/2 and both PC NICs to half-duplex mode.
How does it collide? UTP Cables use 2 TX and RX each so the frames are still transmitted and received on different wires.
What are the differences with full-duplex then?