This definition is broad enough to encompass e.g. someone barricading themselves in an apartment a few blocks away with a 5.57 rifle and shooting at the police; this happened at my daughter's HS, and a bullet did land on the campus just because the campus is large and was in the same general direction.
It also seems like it would be broad enough to include a police officer drawing their duty weapon on a student threatening another student with a knife (also happened at my daughter's HS), but I'm less sure about that.
Neither of those would be considered "school shootings" by the vast majority of the population.