Looks definitely possible: This page has information on embedding HTML content in Hubspot: https://blog.hubspot.com/marketing/how-to-add-html-embed-codes-ht
You would first need to get your Hype document on the web. Next, you can embed it using the full URL of the Hype document's generated JS file. (Here's more info on that: Video tutorial: Uploading your Tumult Hype document to a Web Server and Embedding Within Another HTML Page )