We always had 1 or 2 cats when I was a kid. I don't think though that one of my parents had pets. My mom was a city girl, living in a very small house, together with 4 other kids.
My dad was born in the city too, his parents had a butchery. No pets either, I think.
My brother has a cat and a rabbit.
My sisters has 1 dog, and 4 horses.