Yes, and it is done successfully in a great many homes — but it succeeds on management, never on trust. However sweet your cat is with you, a fluttering bird wakes a hunting sequence written into her long before domestication, and however soft your dog's mouth, one playful pounce lands on a body built of hollow bones. The households where birds, cats and dogs live together safely are the ones that arrange the home so the animals' good behaviour is never the only thing protecting the bird.
The cage is the first line of defence
Choose a cage that treats a curious cat as a design requirement. It should be heavy or wall-secured so it cannot be rocked off a stand, with bar spacing too narrow for a paw to reach through and latches a pawing animal cannot spring. Avoid flimsy travel-style cages for permanent housing in a cat household. Position matters as much as construction: not beside a shelf or bookcase a cat can launch from, and never where the cat can sit at eye level staring in for hours, because a bird that lives under a predator's gaze lives stressed even if it is never touched. Many cats lose interest in a caged bird within weeks once the setup gives them nothing to work on.
Separate airspace, always
The rule with no exceptions: when the bird is out, the cat and dog are out of the room, with the door shut. Not held, not told to stay, not asleep in the corner — out. Accidents in mixed households almost always happen in the gap between 'he is fine, he just watches' and one sudden flutter past a nose. The same separation protects in the other direction less often discussed: large parrots can injure a small dog or a kitten with one bite, so free-flying a big parrot around other pets is a risk to them as well. Birds also need the room itself checked before flight — ceiling fans off, windows and mirrors known to the bird, no open water to land in.
Training the dog, reading the cat
Dogs can be genuinely taught. A dog that learns a rock-solid 'leave it' and is rewarded for calm behaviour around the closed cage becomes a manageable housemate for a bird, and some dogs settle into indifference so complete that the cage becomes furniture. Puppies, terriers and dogs with a history of chasing wildlife deserve more caution and a longer training runway. Cats cannot be trained out of predation in the same way, so the plan for cats is environmental: barriers, distances and doors. If your cat fixates on the cage for weeks, hunting it rather than ignoring it, believe what you are seeing and give the birds a room the cat does not enter at all.
Making supervision somebody's named job
The weak point in most mixed homes is not the animals — it is the vague assumption that someone is watching. Out-of-cage time should belong to a specific person on a specific occasion, every time. That is exactly the sort of duty KinsLe's Care Teams is built for: assign the evening flight session to a named member of the household, have it marked completed with a timestamp, and everyone in the home can see the bird was out under supervision and is safely back in its cage.