Yes, there are sportbikes with automatic transmission, also called DCT (dual transmission) sports. Here are some examples:
*Honda VFR1200F
*Honda NC750X
*Honda CBF1000F
*Honda Crosstourer
* Aprilia Mana 850
Most automatic sportbikes use a two-speed automated transmission (DCT), which provides smooth and quick gear changes similar to the dual-clutch transmission found in cars.