Are there nonstop flights from Heraklion (HER) to Naples (NAP)?

Yes. easyJet, Volotea fly this route. Flight time is about 1h 50m.

What is the fastest connection from Heraklion (HER) to Naples (NAP)?

via Corfu ≈ 2h 22m, via Athens ≈ 2h 25m, via Santorini ≈ 2h 26m (estimated flying time, excluding layovers).

from 15,000 ANA miles (economy, one way, based on the published award charts).

Heraklion International Nikos Kazantzakis Airport (HER) to Naples International Airport (NAP)・1,134 km

Nonstop flights available (2 airlines). Flight time about 1h 50m. Nonstop return flights also operate.

With milesANA 15,000 miles+ (via ATH)Economy, one way, estimate. Tap a connection for miles by cabin.

28 one-stop options, sorted by estimated flying time. Tap one to see the airlines on each leg and booking links.

Times are estimated from distance. Check schedules, frequency and availability with the airline or a booking site.