AA 3865 then AA 1462 at Charlotte
Hilton Head → Charlotte → West Palm Beach
Timetable, Charlotte time
13:44AA 3865 from Hilton Head at the gate
12:20AA 1462 to West Palm Beach leaves the gate
22 h 36 apart on the timetable, overnight
AA 1462 leaves 22 h 36 after AA 3865 arrives on the timetable: more than half a day, so not a connection we count.