Cats' toys at home aren't just limited to cat toys and toy mice; their owners themselves also play a significant role… There are countless places on an owner's body that cats can enjoy playing with—arms and calves are objects they could play with for years. But if you asked your cat to choose their favorite thing on their owner's body, guess what it would be? Of course, it would be their fingers!!
To some extent, owners' enjoyment of teasing their cats and letting them nibble on their fingers fosters a biting habit. Some people also like to feed their cats with their hands or play with them using toys; kittens haven't yet learned to retract their claws and don't know their own strength, so they might accidentally scratch. If owners don't stop them and teach the cat that this is wrong, the cat will develop a scratching habit. 
Simply put, to raise a well-behaved cat that doesn't bite fingers, strict training and education are necessary from a young age. As the owner, you should set a good example and avoid encouraging your cat to bite fingers.
In addition, cats may bite their fingers for specific reasons. For example, when kittens are teething or losing their baby teeth, they like to chew on things to relieve discomfort in their mouths. They'll put almost anything in their mouths and chew on it. Therefore, owners shouldn't forcibly stop their cats. Instead, they can try different ways to meet their cat's needs. While you shouldn't let your cat bite its fingers, you can buy it chew toys, teething rings, etc., so it can chew on them whenever it wants. This satisfies its developmental needs, prevents it from being destructive, and also prevents it from developing a bad habit of chewing.
However, sometimes cats not only like to bite their owners' hands, but also their own. Cats also enjoy sucking on things, much like babies suck their fingers. Indeed, some cats have this sucking habit. Some people might think the cat is hungry and feed it excessively. Is this the right thing to do?
No. This behavior has been theoretically explained by contemporary biologists as premature weaning. Some cats will vigorously lick and suck on wool and cotton fabric items in the home.
Cats that suck or chew on blankets, sweaters, and other woolen items may eventually ingest these items. Since the wool fibers can accumulate in a cat's intestines, owners should discourage their cats from doing this.