No. And even if I did it would probably be too complicated to just throw together in 5 minutes. Aside from the fact that would need to accurately measure the strength of eggs and skulls. I mean, the egg shell, the empty void, the whites, the yolk, how they compress and expand, etc.
You'd be better off just making a pipe cannon and launching it at a pig skull. Bovine is too thick. And then she'll laugh at you when you're proved wrong.