a few years ago we hatched some chickens and some geese. the chickens arrived before the geese and bullied the young goslings, pecking at their eyes and generally pushing them around. initially the goslings were terrified of the chickens and run away if they could, however, as the geese got bigger the tide turned somewhat and the geese beat the living carp out of the chickens. they would act like a group of volciraptors hunting prey, surrounding the chickens then pulling their feathers out.
with over 5 acres of grazing available i thought they would just avoid each other, but no, the geese sought opportunity to stalk the chickens and dish out their own form of goosey revenge.
a fox got the chickens eventually but left the geese alone.
rather than re-introduce potential disquiet to the land we decided to stick with geese only from there on.
to me they are less hassle, far more interesting.
now our geese are so big and powerful that if they attacked a chicken i have no doubt they would kill it.
during egging season they are so much more aggressive too. they even get stroppy with me occasionally creating huge bruises and sometimes drawing blood (no much though, and nothing worth crying over).
they boys are generally the fighters, the girls just make a lot of noise; but they are geese behaving like geese do, protecting the eggs and the vulnerable sitters.
with this in mind i wouldn't want any other animal near them during this period and would definitely not have chickens near them.
mine are embdens by the way, if that makes any difference, smaller geese might behave somewhat differently.