Are there nonstop flights from Kolkata (CCU) to Amritsar (ATQ)?

Yes. IndiGo fly this route. Flight time is about 2h 29m.

What is the fastest connection from Kolkata (CCU) to Amritsar (ATQ)?

via Gautam Buddha Nagar ≈ 3h 2m, via New Delhi ≈ 3h 2m, via Srinagar ≈ 3h 28m (estimated flying time, excluding layovers).

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

Netaji Subhash Chandra Bose International Airport (CCU) to Sri Guru Ram Das Ji International Airport (ATQ)・1,682 km

Nonstop flights available (1 airline). Flight time about 2h 29m. Nonstop return flights also operate.

With milesANA 15,000 miles+ (via DEL)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.