Yes.
Kids this age, do NOT have, fully developed "Impulse-Control" yet.
So, if you expect a 2 or even 3 year old to act all nice with a pet... it will not happen.
They yank, pull, grab, tease, a pet. They don't have impulse control.
And even with humans, kids this age do not yet even have full 'mastery' over social situations or manners.
Cats/Kittens/Dogs... they bite. They also scratch. They are an animal. An animal if irked... will react. It is not their fault.
Some pets, DO NOT LIKE KIDS. Not all pets or breeds, do well with kids.
It depends, on the personality of the animal.
Some are mellow, some are not.
If your child is very active and impulsive, the kitten/cat may stay away from him.
I know a family that has a cat... their child is 5. He chases their cat around constantly. Their cat does not like their son. Naturally. Their child only teases it.
It depends on the dynamic of the child. And the pet.
I have had all kinds of pets and cats too.
They have all sorts of personalities.
And, you cannot expect a child this age (not saying you are), to take care of the pet and feed it nor clean up after it. The child is too young.
Go to an animal shelter. Like the Humane Society.
Sit in the cat room for awhile. Like an hour or more.
See which cats/kittens..... come to you/your child naturally. OBSERVE its personality and disposition.
ASK the shelter person, how the cat is. They usually know... which animal is okay with kids or not.