Depends on the individual husky and the cats. A sibe can be taught to live with cats, it helps alot to have the cats being older, but not afraid of dogs to start with.
Sibes respond to smaller animals running away, sometimes they chase for the fun, sometimes it can be dangerous for the cats. I started mine as puppies with the cat, he is confident, brave, and only runs to get a fun chase out of them. Other cats react different, they may view the cat thats not from their pack as prey, they may not.
Its always a risk but best to start with a puppy.
Rabbits, I dont think a guarrantee can be made, my adult sibe will chase them and overtake them fast, but he just looks at them and smiles (wild rabbits at least). His reactions to domesticated rabbits worry me a bit, I wouldnt trust him to not kill them.
The cats need to be calm and confident to introduce the sibe puppy, wear the puppy out seriously before any introductions.
I wont say that they can or cant live with cats, its your job to teach them to possibly be able to. I know a breeder that keeps all of their sibes, mals, and shibas around cats and kittens with no problems.
Good luck, the sibes needs to be taught to respect the cat.