Hi there @Damon Evans 

Yes, it is possible to set up separate Intercom conversation flows for your specific site pages. You can create Workflows that automate the process and ensure that the right conversations get to the right team. 

For instance, you can use Page URL filters in Workflows to specify where the Workflow can trigger, allowing you to manage multiple brands or specific site pages effectively. You can also set up audience rules for Proactive support messages to target a specific URL that the end-user must be on. This can be done by selecting the "Where to send" option to indicate where the end-user has to be to trigger the message, or by adding a "Current page is ___" audience rule at the bottom of the message rules section.

You'll find more Workflows & targeting in these articles from our Help Center  

Workflows explained

Customer visits a page