I killed a goose with an arrow through its head once. It got around on the water OK and didn’t appear to be able to fly so I put it out of its misery.
Canada geese and PETA and aviation are constantly locking horns..look at all the bird strikes around airports.
Here, I think we have an overabundance of mute swans..they are pain in the neck if you paddle in any of the tidal marshs and estuaries.