They can, but they tend to be more of an agrivation for the hens. My hen Honey took the brunt of it and I had to save her more than once. My game roo from the same pen tried to attack one of the drakes and he ended up hurting himself. Not badly, but it still upset me. I moved them out that day put them in with the pig.OK, I had read that ducks that try to mate chickens can kill the chicken. So I always worried that would happen.
I know that the chickens act like middle schoolers, and ducks act like high schoolers, so are the geese the college kids? Do they have a sense of themselves and are the bosses? LOL