AA 4 then DL 6063 at JFK
Los Angeles → New York → Lima
Timetable, New York time
21:59AA 4 from Los Angeles at the gate
12:50DL 6063 to Lima leaves the gate
14 h 51 apart on the timetable, overnight
DL 6063 leaves 14 h 51 after AA 4 arrives on the timetable: more than half a day, so not a connection we count.