There's a scene in Harry Potter and the Sorcerer's stone where Harry is being chased by the flying keys. Hermione and Ron open the door for him, he flies through and then they shut the door leaving the keys to crash into it.

Then in Independence Day when they are trying to escape from the alien Mother Ship, they fly through the closing door just in time and the alien ships crash into it.

Also in Finding Nemo, the Pelican has them in its beak and is being chased by the gulls. It approaches a sailboat and at the last minut turns on its side and flies between the mast and the sail, leaving the gulls to crash into the sails.

So who did it first? It is a very visual gag so I suspect it may date back to the silent movies.