Are there nonstop flights from Heraklion (HER) to Almaty (ALA)?

Yes. Air Astana fly this route. Flight time is about 5h 46m.

What is the fastest connection from Heraklion (HER) to Almaty (ALA)?

via Antalya ≈ 6h 16m, via Yerevan ≈ 6h 17m, via Baku ≈ 6h 18m (estimated flying time, excluding layovers).

from 29,500 ANA miles (economy, one way, based on the published award charts).

Heraklion International Nikos Kazantzakis Airport (HER) to Almaty International Airport (ALA)・4,474 km

Nonstop flights available (1 airline). Flight time about 5h 46m. Nonstop return flights also operate.

With milesANA 29,500 miles+ (via IST)Economy, one way, estimate. Tap a connection for miles by cabin.

12 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.