you could shoot on a lrage green screen with shorter/fatser cuts to keep the action within the space of being in front of the screen, and then shoot the background with matched camera movement. then composite and add your desired effect to the backgound layer.
otherwise, if you track/move the camera with the subjects at a higher speed on such a device as per say .. a Rowe Cine cine dolly the subjects will be sharply captured albiet their swinging arms/legs, and the background will blur/streak .. all naturally.