There are a few really specific situations where I would advise you to only attempt if armed with the most insufferably prestigious degrees possible (if you wanted to be a humanities professor at Oxford, for example), but for most industries there are plenty of ways in. Practicing medicine? Definitely can do that without the Ivy-tier prestige degrees.
You can probably call up some department at your school and get actual stats for what schools the pre-meds go to.
The prestige racket is real but it's not everything, it just wants you to think it is. Hope you can get away from the grueling college app process and let the wind blow those clouds off your sunrise a little. There's gonna come a day when you look over at your work colleague or close personal friend and realize you don't know where they went to school and you don't care enough to ask.