Both destinations are served by Chandigarh (IXC). Since there's no flight route between them, the best way to travel is by road.
Kalka
Fly to Chandigarh (IXC), then travel by road to Kalka. Taxis, buses, and private cabs are available from the airport.
Chandigarh
Fly to Chandigarh Airport (IXC), then travel by road to Chandigarh. Local transport options include taxis, auto-rickshaws, and state buses.