You probably don't even have to try very hard. My cat, which I had when I was a kid and died of old age decades ago, regularly gets preapproved credit card offers sent to my father's house. Still.

Yes, literally a cat. Like, furry, pointy ears, tail, and meow?

I have to think it would be fairly trivial if I put my mind to it and had larceny in my heart to eventually build up enough documentation to get at least some state entities to believe my dead cat is actually a living human, and then do any old thing with that identity.