Yes, very possible.
To narrow down your search for information or assistance it would help the community to know more about the particular website you’re working on. For example, where is it hosted (some hosts don’t allow custom code) and what framework is it (Wordpress, Drupal, Magento, etc?).
Also, it’s helpful to know which tables and which fields are involved in the search and subsequent “yes you can apply” logic.
I too have the same question, we are using your AirPress [Wordpress] plugin to pull content into Wordpress, however, I started going down the path of doing a WP search query filter which would issue an AirTable “filterByFormula” API query, but the challenge is linking the search results to a corresponding virtual post page for the record.
Is this something you are familiar with?