Yes, a few have been known to definitely try to pick them up with wing. As you can see, they aren't always successful.
They DO try to 'poach' the eggs by rolling them with their beak/head to 'their' nest box. And I think you remember the hen that was 'stealing' my eggs I set on a table...rolling them to her and tucking them in!. .and she wasn't even broody!
I've caught ducks doing this, too, when broody. Stealing eggs from one nest and rolling them all the way across the coop to their nest box. My husband didn't believe me. He thought he was going nuts when he had seen some eggs in the nest...then they weren't there. I told him: you have to check the broody ducks nest...they steal them - well, next day, he caught the duck red
handed beaked rolling the eggs to their nest. Those two co-broody ducks were/are a hoot!

But, I love them all - ducks, chicks, geese, even if they are thieves and beggars!!



