Yes, they have the same meaning. You could also say "I am famished."

yup both are same. other ways- I am craving for food or I am having an empty stomach

I'm starved I'm starving to death I'm famished I'm ravenous I'm so hungry, I could eat a horse (and chase a jockey) I'm as hungry as a bear / wolf I'm not sure about "dying of hunger", it sounds OK but I don't think I heard it much