I'm not as knowledgable as some of the rest of the guys who participate on this Forum about logging time as an SIC on the KA200; however, if I remember correctly, I believe that he can under certain situations and conditions; mainly if the Ops Manual for the outfit calls for one and he meets insurance requirements.
You may want to PM wrxpilot directly. He flies as an FO on a KA350 I believe.
atp