Can a dog person be a cat person as well?

I had a hard time deciding what to write about in this blog, so I decided to write about the creature that's staring at me right now.
I'm a dog person, I love dogs. Whenever I'm around one, the dog and I have a lot of fun playing with Frisbees, balls, etc. Sadly, though, I can't have one. I live in an apartment and it's unfair for a dog to be stuck in one all day. A dog deserves a big, spacious yard to run about, and I can't provide that just yet.
However, I do have a cat. Her name is Samantha, nickname: Sammy, (my mother and I named her after the witch, Samantha Stevens, in the television show "Bewitched."), and she has black fur and yellow eyes. She was given to me when I was 12 years old, so I've had her for 6 years. I love my kitty. I think she's the best cat in the world. She is very loving and very playful, like a dog I suppose, she actually plays chase and hide n' seek with me. When I was younger, whenever I would run she would chase me and jump at my heels. And whenever I got her all excited and ran away to hide, she would actually look around the apartment for me. Is this normal behavior for a cat?
I've had her since she was a young kitten, so my mother and I are the only influences she's had. Is it possible that we unconsciously trained her to have the persona of a dog? Or is she a normal cat and, even though I'm a dog person, am I a cat person as well?