Yes, because they might be born with diseases.
cat with no shots as a sickness thin no so probably not because it can make the other cat sick but if you mean shots like were they cant hae babies thin it should be fine. P.S IF NO SHOTS AND SICK CAT AND LIVING WITH A healthy CAT KEEP separate
if your cat is an outdoor cat it may be vulnerable to predators like coyotes and raccoons that have rabies (make sure your cat gets their shots)! so beware of animals like that that can harm your cat!!!
its not cruel to have a cat keept in a house but make sure it has everything it needs like shelter,food,water and something to play with
There are cat vaccines (check with your vet to see the most suitable age).
A cat's house is commonly referred to as a "cat shelter," "cat condo," "cat tree," or simply a "cat house."
Vaccines
Whether a male cat is better as a house cat depends on the individual cat's personality and behavior. Male cats can make wonderful house cats if they are neutered, as this can help reduce territorial behavior and aggression. It is important to consider the specific needs and characteristics of the cat rather than generalizing based on gender.
For sure Rabies and distemper shots, feline leukemia
A stray cat may keep coming to your house because it is seeking food, shelter, or companionship. Cats are known to be drawn to places where they can find these basic needs met.
it means a cat that lives in a house (house cat).
No rabbit normally needs shots. However, if you are showing your rabbit it could possibly need shots to be shown.
cat nips