DL 4662 then DL 6063 at JFK
Nashville → New York → Lima
Timetable, New York time
17:44DL 4662 from Nashville at the gate
12:50DL 6063 to Lima leaves the gate
19 h 06 apart on the timetable, overnight
DL 6063 leaves 19 h 06 after DL 4662 arrives on the timetable: more than half a day, so not a connection we count.