Can a cat have an eating disorder?

I got my cat from the Humane Society last year after they rescued him from the pound. He has gotten quite fat because he eats all the time. I limit the amount of cat food I give him based on what his vet recommended but he will clear a plate and eat bread whenever he gets a chance. He also meows as if he’s hungry constantly until feeding time. When I let him outside he goes on killing sprees. Can he have an eating disorder because he went hungry before being rescued? I searched cat eating disorders and got back people who EAT cats.

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