Yes — Slovak Lines runs a direct coach service between Bratislava Airport and Wien Hauptbahnhof (Vienna’s Central Station), no transfers, taking about 70 minutes. Online tickets start from €7.90, and the ticket includes a reserved seat, one piece of hand luggage and two pieces of checked luggage. The same operator also runs a short 15-minute service into Bratislava’s own Nivy Bus Station, from €1.90, and a newer route to Győr, Hungary, from €8.90.