This may be possible, but WordPress-level customizations would be required. This is a standard WordPress search URL for custom post types, in this case it’s a “hp_listing” post type and HivePress just renders the search results but the URL is managed by WordPress.
Sorry for the inconvenience, but customization is beyond our support scope - it includes fixing bugs and guidance about the available features Support Policy | HivePress
If customizations are required for your site, please try customizing it using the collection of code snippets Search · user:hivepress · GitHub and other developer resources, or consider hiring someone for custom work https://fvrr.co/32e7LvY