I think this holds true to a point no matter what level of education you are discussing. Everyone has a preference for class size and teaching style, and when these preferences are not in keeping with the reality of the specific class, this can greatly affect a student's ability to learn. How much the teacher is able to keep order in the classroom is also a big factor, as concentration is sometimes disrupted by noisy students. Schools with limited funding also have limited resources, which means students may sometimes be denied extra help or be unable to participate in hands-on enrichment due to limited materials or staff.
The reason I say this hold true to a point, however, is that it is possible to succeed even when not in an optimal environment. I have studied in a school where fifty poorly-disciplined students were packed into a classroom with thirty desks and twenty available textbooks, where we sometimes had to cancel lab assignments because someone stole the vials and classes sometimes were interrupted by threats of a shooter on campus. I have also studied in a school with private funding, where the classroom sizes were small, teachers could handle student disruptions, and we had access to abundant resources. Though my high end-of-the-year marks were more difficult to achieve in the first school, I still managed to get those high marks regardless of what kind of school I was in or what teachers I had. Schools and teachers can only affect you so much- a lot depends instead on the individual student's determination and resourcefulness.
It depends on the institution, in high school probably mybe, in middle school yes and in college no