Are there nonstop flights from Seoul (ICN) to Matsuyama (MYJ)?

Yes. Jeju Air fly this route. Flight time is about 1h 19m.

What is the fastest connection from Seoul (ICN) to Matsuyama (MYJ)?

via Busan ≈ 1h 51m, via Fukuoka ≈ 1h 55m, via Kagoshima ≈ 2h 13m (estimated flying time, excluding layovers).

from 7,500 ANA miles (economy, one way, based on the published award charts).

Incheon International Airport (ICN) to Matsuyama Airport (MYJ)・695 km

Nonstop flights available (1 airline). Flight time about 1h 19m. Nonstop return flights also operate.

With milesANA 7,500 miles+ (via HND)Economy, one way, estimate. Tap a connection for miles by cabin.

5 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.