If you would like to build targeted notifications for abandoned forms, similar to how you would build for abandoned carts, there's a few options for that.
You could in theory, use the built in abandoned cart logic for a form as well. Since all it’s really doing is listening for the conversion and if that doesn’t occur within the specified time records an event for that subscriber (Tracking Abandoned Carts).
You could create a segment for those that viewed the form page but not form success page. Then make an automated campaign targeting those people
Currently we don't have a built in abandoned form function yet, but it is on our roadmap for future features!