Yes! You can modify your name according to the Southwest name change on ticket policy. The cost of a name change totally depends upon the circumstances surrounding the request's inception. There isn't a change cost if a traveler starts the name correction on the ticket request within 24 hours. However, if you seek a name alteration after the first 24 hours of booking, you could have to pay. The cost is determined by the change date and the amount of time left to board the aircraft. For further information, you can contact the airline. If you cannot contact them for any reason, dial +1-800-865-1848 third-party agent, for your queries. They are always available for you 24/7.