Yes, there are sports motorcycles with automatic transmission. Here are some examples:
*Honda NC750X DCT
* Kawasaki Versys 1000 SE Grand Tourer
* Suzuki V-Strom 1050 XT
*Yamaha Tracer 9 GT
* Ducati Multistrada V4 S
* Aprilia Tuareg 660
* BMW F 900 XR
* Triumph Tiger 900 GT Pro
* Moto Guzzi V85 TT Travel
* KTM 890 Adventure R