Hi @annie, that is a great question 
At the moment, there isn’t this kind of interaction trigger for form submission, but it would be a great functionality to add.
About the closest thing you can get to this without using custom code, is by redirecting your form submission to a different page on your site, that has an animation that loads when the page loads.
There may be some other custom coded solutions that might be of help
I am going to turn this into a wishlist item 
Cheers,
Dave