LA 2469 then LA 2527 at Lima
New York JFK → Lima → Cusco
Timetable, Lima time
06:55LA 2469 from New York JFK at the gate
05:25LA 2527 to Cusco leaves the gate
22 h 30 apart on the timetable, overnight
LA 2527 leaves 22 h 30 after LA 2469 arrives on the timetable: more than half a day, so not a connection we count.