Are there nonstop flights from Moncton (YQM) to Calgary (YYC)?

Yes. WestJet fly this route. Flight time is about 4h 44m.

What is the fastest connection from Moncton (YQM) to Calgary (YYC)?

via Montréal ≈ 5h 22m, via Montréal ≈ 5h 22m, via Ottawa ≈ 5h 23m (estimated flying time, excluding layovers).

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

Greater Moncton Roméo LeBlanc International Airport (YQM) to Calgary International Airport (YYC)・3,599 km

Nonstop flights available (1 airline). Flight time about 4h 44m. Nonstop return flights also operate.

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

8 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.