AA 657 then DL 6063 at JFK
Charlotte → New York → Lima
Timetable, New York time
20:30AA 657 from Charlotte at the gate
12:50DL 6063 to Lima leaves the gate
16 h 20 apart on the timetable, overnight
DL 6063 leaves 16 h 20 after AA 657 arrives on the timetable: more than half a day, so not a connection we count.