If by honker, you mean the power sounder, then yup, you can remove it... However, if it is the horn it depends...
If there's a horn next to the coolant bottle, then simply remove it (but expect the power sounder to get noisy), if no extra horn there, it runs through the main horn. Once you have unlocked it remotely, lock it manually and the alarm won't be triggered when you subsequently unlock it manually.
Basically, the only the remote or manual deadlocking sets the alarm... And if the alarm is triggered, the ecu confirms that the car isn't actually being stolen by confirming the key chip... This is why the alarm is silenced when the ignition is switched on.
Officially, if you lock the car with the remote, then the alarm will sound every time you manually unlock it until you unlock it with the remote again.
All in the Owners Manual