While there are some generous medical schools, those are also super competitive for admission. (NYU, Mayo, UCLA all have admission rates around 2%)
Some state med schools do offer merit to a a tiny number of highly qualified applicants–typically those who hold multiple acceptances to top med schools or who otherwise fulfill a need the school has identified (like high stat UIM applicants).
Many med schools are transitioning away from merit based aid (which strongly favors upper SES applicants) to need based aid for SES disadvantaged, rural and first gen medical students.
What @thumper1 said is true–by far the vast majority of med students finance their education through loans, loans and more loans.