Are there nonstop flights from Akutan (KQA) to Unalaska (DUT)?

Yes. Grant Aviation fly this route. Flight time is about 35m.

Akutan → Unalaska

Akutan Airport (KQA) to Tom Madsen (Dutch Harbor) Airport (DUT)・67 km

Nonstop flights available (1 airline). Flight time about 35m. Nonstop return flights also operate.

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