DL 612 then DL 6063 at JFK
Oranjestad → New York → Lima
Timetable, New York time
19:10DL 612 from Oranjestad at the gate
12:50DL 6063 to Lima leaves the gate
17 h 40 apart on the timetable, overnight
DL 6063 leaves 17 h 40 after DL 612 arrives on the timetable: more than half a day, so not a connection we count.