Will Ivy League Schools take more than 1 from each school?

So basically if you are from a “selective” school, yes an Ivy will take more than one. If you are from the usual high school, most likely the answer is no.
We obviously have some very bright students in our school. Harvard has never accepted a student. Yale - no. I think in the last 10 years Brown has taken one. I do know that three years ago the Val was waitlisted at Princeton but decided on the prestigious honors college at our state flagship school.
The truth is that these Ivies would have been lucky to have any of these students.
It really seems, to one for whom this conversation makes the selective high schools seem like part of a machine, that except in rare cases, it is the same schools who have students getting into the top colleges. Like a conveyor belt.