Can I trigger a custom app handler based on a link/button click in an in-app message?

We want to trigger a custom app handler based on the link/button user clicks in the in-app message (web app). We do not want the user to navigate using this link, we rather want to get this event and react to it the way we need. How to do it?

I.e. we want to open some particular page in our web app with some param. But messenger only allows us to insert link and users to navigate to those links directly.