I have just checked in the Honda workshop Manual. It is possible to erase the Fault codes using the Honda plug in jumper (which Honda call SCS connector).
1. Plug the SCS in to the diagnostic socket
2. Turn the ignition on.
3. Unplug the SCS.
4. The engine symbol (called the MIL, it stands for Malfunction Indicator Light) will light for 5 seconds.
5. While it is alight plug the SCS back in.
6. The memory is erased if the MIL goes of then starts flashing.
This only works if the Brown and Green wires are jumped by the SCS while the MIL is alight.
Another way of looking at it is if you can jump between the Brown and Green with a piece of wire you don't need the SCS. Bit fiddley though.
Put this number into Google 070PZ-ZY30100. Not expensive, unless you buy the Honda one!