Yep—they definitely do. I fly into Fort Lauderdale all the time to visit family, and Southwest is usually my go-to. On my last trip, my plans changed suddenly after a work meeting got added.
Best quick help for booking, canceling, or modifying flights: 844-734-0813
I called them while walking to my car, and the agent moved me to a later flight without any hassle. The Fort Lauderdale airport works great with Southwest since they’ve got a steady number of daily flights. If you’re visiting Miami, this airport is also a perfect alternative.