yes, the bike battery should charge the kiox. If yours isnt being charged, then it could be due to one of two things:-
1. if the motor system is experiencing a problem it can stop sending power to the kiox, if you are experiencing error 550, then this condition stops sending power to the kiox, but you should be seeing an error 550 message on the screen. I guess there could be other error conditions that also stop the power being suppplied, but you'll see an error message I would think.
2. There is a problem with the power feed to the kiox - is the kiox correctly seated in the cradle and the contacts are clean?