Yes, swans are bigger than geese, and wild animals are generally much stronger than similar domestic ones. I would not wish to cross paths with a vexed one. ow.

Last fall, I saw an absolutely beautiful trio of tundra swans, resting from migration (I assume; this is not a species one commonly sees in my bit of the world) in a farmer's pond. It was what looked like a mated pair and that year's juvenile. Utterly magnificent, glorious, _huge_ birds.