Yes — Newcastle is one of the few regional airports in Britain with its own light-rail stop. The Tyne and Wear Metro station sits beneath the terminal on the green line, running roughly 5:30am (6:20am on Sundays) to midnight, and reaches Newcastle city centre (Haymarket, Monument or Central Station) in about 25 minutes, continuing on to Sunderland and South Shields. Arriving by mainline train from further afield? TransPennine Express sells a combined rail-and-Metro ticket to the airport at over 50% off from Edinburgh, York, Leeds, Durham and Darlington.