It is possible, but I'd say submit a ticket to find out for sure. It would have to be very rare though.
Regardless, it's realistic, because I'm aware that some of my friends from high school were athletes who couldn't play at higher than the DIII level but still had their dream schools. One was the starting running back on my football team who had dreams of playing at West Virginia but ended up going to a DIII school to play football, another had dreams of playing basketball at UCLA but ended up going to a DIII school along the east coast.