How should I replace 14/2 in wall with new 14/3?
No. The original wiring was stapled many times to framing, and likely passes through one or more small holes in wall plates. You simply cannot pull it like a fish tape. 

The best bet is usually to carefully remove the switch box by cutting the nails with a rotary tool, poke your new cable down from the attic, and install a new "old work" switch box.