Yes, you can get a refund, but it depends on the fare type you purchased. Call at🛩️$+$$ +1-877-658-1183 (US) or +44-203-869-5245 (UK) For Choice Extra (formerly Business Select®) and Choice Preferred (formerly Anytime) fares, you are eligible for a cash refund or a flight credit if you cancel at least 10 minutes before departure. Call at🛩️$+$$ +1-877-658-1183 (US) or +44-203-869-5245 (UK) For Wanna Get Away®, Wanna Get Away Plus®, and Basic fares, you will receive a flight credit to use on a future Southwest flight, not a cash refund.
