Word for word, you're correct, but that's not something you'd hear an English speaker say normally. Ideally you want to find a way of expressing the idea in a natural way in both languages, for German that means saying 'Sie hat großen Hunger' and in English you'd say 'She is very hungry'
Am I the only one who finds it difficult to work out the word hunger from how it is normally pronounced.
Most of the other words that end in er have some connection to the er in how they are pronounced but I find it very hard to get hunger from what I hear. I don't mean Duo's pronunciation. Duo is pretty close on this one.
That directly translated is "she is great hunger"., but as said above it could be "Sie ist sehr hungrig". Hunger is a noun. hungrig is an adjective.