Yes, you can change a flight you booked with Delta. Just call their customer service. When you speak with a representative, you can explain your travel changes, explore your options, and modify your flight. The Delta team will guide you through the process to ensure everything goes smoothly." Changing the passenger name on a Delta flight ticket involves a few specific steps. To make this change, you should first call Delta customer service at +1-860-596-8079. When you call, make sure to have your booking confirmation number and the details of the correct passenger name ready.