Hi @RKenyon,
You could get some of this information if you are tracking CTA clicks that go to a page with a form, however, this wouldn’t tell you anything about partial completions. Unfortunately, this still is not available in HubSpot, however, @danmoyle created an Idea on the Ideas forum for it. Please go an upvote it!
To your other point, I believe the “interacting with a form” would require the contact to actually complete the form.
Josh