Cats can be allergic to living with people rather than allergic to people themselves (let me explain). Washington State University Professor, Dr. Raelynn Farnsworth, says in a National Geographic article that cats are allergic to “dust mites and human dander, or things we encounter in the environment like feathers, sheep wool, or pollens”. The originally cited article acknowledges this too, “when cats do have a bad reaction to us, it’s usually caused by residue from our perfume, soap or laundry detergent”.
So, granted, it’s important to know that - while this claim is true - much of the allergens affecting cats are more from the environment that comes along with living alongside a human rather than a human themselves. That being said, human dust (made up of dead skin, dirt, etc.) can also be an allergen. The good thing is that usually vets can work with you to help make you and your cat’s lives easier if this is the case.
While saying “some cats are allergic to people” follows a similar logic as saying “some people are allergic to cats”,since a very similar allergic reaction to cats’ shedding skin is the most common cause of what makes “some people allergic to cats” - I think it is very important to elaborate on the root of the problem that way someone doesn’t disown their cat when they realize their cat is “allergic to them” when it was truly that the cat was allergic to their brand of laundry detergent.
https://www.nationalgeographic.com/animals/article/150411-dogs-cats-allergies-science-pets-animals#:~:text=We%20also%20wonder%E2%80%94can%20they,people%20dander%20and%20vice%20versa.
https://www.petmd.com/6-things-your-house-could-be-triggering-your-pets-allergies