AA 4631 then DL 6063 at JFK
Indianapolis → New York → Lima
Timetable, New York time
09:26AA 4631 from Indianapolis at the gate
22:50DL 6063 to Lima leaves the gate
13 h 24 apart on the timetable
DL 6063 leaves 13 h 24 after AA 4631 arrives on the timetable: more than half a day, so not a connection we count.