Genio does not currently have any integrations with MapBox. The available integration is with Google Maps.

You can always do what you need to do with manual code, although its hard to give any specific guidance for such a generic request. You can add hidden field to help transport the information you want between the interface and server, then is up to you to add the necessary api libraries, initialize them on form startup and setup your event handlers, and collect data during form save phase.