Yes, you can still sue. If you were a motorcycle passenger, you could sue the person carrying you on their motorcycle for injuries you sustained during the accident. You must, however, provide information that will prove that the person riding the motorcycle has been negligent.
You should also consider the location of the motorcycle accident. If your accident occurred on a road that passes through private land, you could sue the landowner for negligence. If, however, your motorcycle accident happened on a public road alongside a zoo, park, or other public property, you could file a personal injury lawsuit against the governmental body responsible for overseeing the zoo, park, or public property.