I'd think the geese would eat the fish -- or else make the pond so yucky that they won't be able to live. Unless it is a BIG pond . . . but a little decorative pond won't be decorative too long with geese . ..
Oregon Blues -- How do you treat yours as goslings? Do you let the parents raise them? We tried our best not to handle the geese too much as youngsters, and our geese are appropriately friendly but not pushy -- but the ganders are a bit pushy now. Not letting them get away with it, but wonder if there was something else to do . . . if my geese hatch out any goslings I'd like to do a good job with the ones we keep.
JamesA -- I have a tall 5 year old that can go in among the geese with me, when it is not breeding season. They disapprove of him because he moves so quickly, and talks so loudly, but usually they will leave him alone. He's been knocked over by a gander, and wacked with the wings --- he's a tough kid, but the gander scared him - and I was in the pen with him and had just turned my back. He's not allowed in with the geese during breeding season now, even though he's not particularly afraid of them even after being knocked down. My tall 9 year old can go in without me to check waters during the breeding season, but he has to discipline the gander a lot. He's big for his age, and the gander is almost too much for him. He was helping out while my daughter and I were down with the flu, and just went in to help out without me knowing, or I'd have told him to stay outside. My 12 year old daughter feeds the geese, holds them, pets them, and isn't afraid of them at all - and they treat her as well as they treat me. My 16 year old daughter is scared of them, but likes feeding them over the fence. I'd teach your 2 year old basic animal rules -- move slowly, nice touches, quiet voices, don't run away and try to find times where she can feed them over the fence and be involved that way. They are much heavier and harder to deal with than chickens with the potential for scary painful encounters . . . but she'd like petting them if you catch them for her . . . and feeding them - always with a lot of supervision!. I'd wait with other interactions until she is older / taller . . .