Apart from it sounding a little uncommon in English, there is nothing wrong with this translation - go ahead and report it if it comes up again.
so hunger is another noun that you can "have" , what other nouns are also accompanied by the verb haben to make it an adjective?
The noun "der Hunger" is not made an adjective. It is still a noun!
You know that "being hungry" is a feeling and you have feelings, right? Everything which can be named has it's name aka the noun.
Perhaps you wanted to ask if there are other word pairs that use the noun in German and the adjective in English?
Well, then I cannot answer your question, since I do not know which German nouns do not have nouns as counterparts in English that are used just as commonly and if the English-speaking persons stay with the corresponding adjective instead...
You might just have to learn them by heart and maybe you can write a list for future learners encountering the same 'problem' to simplify it.