Not really. Some undergraduate institutions will post their statistics, but those are pretty much worthless because of the amount of data massaging that goes into them.
There is no standardized reporting of pre-med outcomes anywhere.
AMCAS provides a limited amount of information here: https://www.aamc.org/data/facts/applicantmatriculant/86042/factstablea2.html
These data tables list colleges that supply X number of med school applicants/year, broken down by ethnicity. As you would expect the school listed are all large public institutions with many undergrads. (Or in the case of black applicants, the HBCUs.)