AA 5594 then AA 2688 at Charlotte
Little Rock → Charlotte → Raleigh-Durham
Timetable, Charlotte time
13:38AA 5594 from Little Rock at the gate
11:00AA 2688 to Raleigh-Durham leaves the gate
21 h 22 apart on the timetable, overnight
AA 2688 leaves 21 h 22 after AA 5594 arrives on the timetable: more than half a day, so not a connection we count.