Hi Kate and welcome to the Magento community!
you can try out Zuvoo. It’s a web-based platform that lets you create product finders or product selectors without coding skills. You can embed them into your Magento store very easily.
They work just like you described: just like in a quiz, your customers answer predefined, conversational questions, and based on their answers get to a personal recommendation page with products that are right for them.
You can check out some examples here: https://zuvoo.com/examples. Happy to give you more tips on your store if you share your URL 