My last one (EU year 2000) had normal keys and separate Honda S2000 fob/remote just to lock/unlock and mine had a non Honda alarm.
I think there is a chip in the 'normal' Honda S2000 key for the immobiliser.
So, if its not the Alarm model I think it should have a remote to lock and unlock.
Edited. - Might be a Euro import, not sure but think euro S2000 didn't have alarms but you do get an 'Alarm' option when choosing insurance!