Are there nonstop flights from Tromsø (TOS) to Reykjavík (KEF)?

Yes. Icelandair fly this route. Flight time is about 2h 43m.

What is the fastest connection from Tromsø (TOS) to Reykjavík (KEF)?

via Bergen ≈ 4h 11m, via Oslo ≈ 4h 25m, via Stockholm ≈ 4h 50m (estimated flying time, excluding layovers).

from 23,000 JAL miles (economy, one way, based on the published award charts).

Tromsø Airport (TOS) to Keflavik International Airport (KEF)・1,880 km

Nonstop flights available (1 airline). Flight time about 2h 43m. Nonstop return flights also operate.

With milesJAL 23,000 miles+ (via HEL)Economy, one way, estimate. Tap a connection for miles by cabin.

13 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.