Smart Form based on user responses

Hello, I have a client that would love a WordPress website but wants a major customized feature. It’s a travel website designed to plan a trip for the user based on their interests.

For example, one of the questions on the site may be: What are some things you like to do on vacation?

And the options would be:
• Go on a safari
• Visit a winery
• Learn about the culure
• Explore the outdoors

And then based on their choice, another question will appear or maybe it will take them to a page with other options.
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It’s almost like a role playing game where you are stuck at 2 roads and whatever one you choose determines your fate. I’d love to make this website and the client can’t afford a custom developed site. Is there any type of plugin similar to this?

Thank you!