ESLwriter, my apologies for the delayed reply.
Yes, I definitely think you can make quizzes like this.
I have used quizzes with audio (using the PoodLL plugin, but as Stuart says this will be much easier from version 3.5 onwards).
Drop-down is a feasible option, as Stuart suggests. I could also imagine using Multiple Choice or Drag & drop into text/Drag & drop onto image.
I understand why you would want students to write the words themselves instead of choosing from a predefined list – after all, having to identify words without scaffolding requires a higher degree of independent language competences. I have experimented a little with the quiz type Short Answer to solve your problem, but short answers allow only for one word per question – so in that case you would have to add three questions (one for car – one for truck – one for bike).

Well, first it’s very easy to add an audio (or indeed video) clip in Moodle 3.5 onwards, as the Atto editor has buttons for this 🙂
I would say the Close question type might work here – you can add three dropdown options, each with a choice of responses (can even be half a dozen similar responses if you want to ensure students are really selecting the correct response).

Is there a quiz question that will let me do this…

Student plays a short audio clip in the quiz question.
The task is to hear the nouns.

Student listens.
Student writes three nouns.
Moodle checks the answer – correct or not.
Correct means the 3 nouns match my list already entered in the answer somewhere.

The short answer quiz question with a wildcard option is okay but the student answer (e.g car, truck, bike) has to be in the same order. It can;t be bike, car truck.

Thanks for your help.