Is it possible to be allergic to only one kind of cat?

My mom owns five cats, and I regularly pet and cuddle with them when I stay over there, but only one of her cats makes my nose itch whenever my face is near him. It is worth noting that his father was likely a stray that kept coming near my mom's house a few years back, so he's the only one that wasn't... show more My mom owns five cats, and I regularly pet and cuddle with them when I stay over there, but only one of her cats makes my nose itch whenever my face is near him. It is worth noting that his father was likely a stray that kept coming near my mom's house a few years back, so he's the only one that wasn't from the same litter or family. I tried googling it but I didn't get much of an answer, since I've never experienced a cat allergy before.
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