Could you create a search like that with the aid of ACF? Yes. Is it something that will be easy to do? Likely not. You would need to build the entire search UI yourself and make it submit the search.
For an idea of what you’ll be getting into when getting the search results check the Dynamic $_GET parameters section of this page https://www.advancedcustomfields.com/resources/query-posts-custom-fields/ and this giuide https://www.advancedcustomfields.com/resources/creating-wp-archive-custom-field-filter/
As far as the UI, you’d be mostly on your own.
