If you can take off a tappet inspection cover, and see the top end wet with oil inside, then the pump is likely working and it's an indicator fault.
It is fairly common to find the oil sending unit gone bad, or plugged. Sometimes a cleaning is all that is needed, sometimes a replacement is needed.
I would check with Honda for a replacement, or David Silver Spares (see the FAQ). I also remember some prior posts about using a sender from a Honda car. You might search for those.
Cheers,