Are there nonstop flights from Lyon (LYS) to Evenes (EVE)?

No. The fastest connection is via Oslo, about 4h 5m of total flying time.

What is the fastest connection from Lyon (LYS) to Evenes (EVE)?

via Oslo ≈ 4h 5m, via Frankfurt am Main ≈ 4h 6m, via Amsterdam ≈ 4h 7m (estimated flying time, excluding layovers).

from 15,000 ANA miles (economy, one way, based on the published award charts).

Lyon Saint-Exupéry Airport (LYS) to Harstad/Narvik Airport (EVE)・2,616 km

No nonstop flights. The fastest connection is via Oslo (OSL), about 4h 5m of flying time (layover not included).

With milesANA 15,000 miles+ (via BRU)Economy, one way, estimate. Tap a connection for miles by cabin.

None.

9 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.