They sure do. I’ve flown into both Hobby and Bush when visiting relatives. One time, a storm messed up my connection and I needed to cancel and reschedule everything. Calling ☎️ was the only thing that saved me—online options weren’t updating because of the delays. The rep walked me through new flight times and handled the cancellation instantly. So yes, they fly to Houston, and calling is your best bet when travel goes sideways.