Are there nonstop flights from Hami (HMI) to Seoul (ICN)?

No. The fastest connection is via Beijing, about 4h 20m of total flying time.

What is the fastest connection from Hami (HMI) to Seoul (ICN)?

via Beijing ≈ 4h 20m, via Jinan ≈ 4h 27m, via Zhengzhou ≈ 4h 42m (estimated flying time, excluding layovers).

from 11,000 ANA miles (economy, one way, based on the published award charts).

Hami Airport (HMI) to Incheon International Airport (ICN)・2,830 km

No nonstop flights. The fastest connection is via Beijing (PEK), about 4h 20m of flying time (layover not included).

With milesANA 11,000 miles+ (via PEK)Economy, one way, estimate. Tap a connection for miles by cabin.

None.

10 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.