They will base their decisions on YOU, not how many students have come there from your school.
Shejeboshease touched an important point. You DO need the background knowledge to do well on your MCAT. You can acquire that both through coursework and self-study. So, no matter which school you attend, you can cover that base if you have the initiative. Does your school have opportunities for research involvement, or do you have to outside campus to find your own? All schools have opportunities for community involvement and leadership.
One thing that your school probably does lack is an effective advisement system for pre-med students. Perhaps there is not enough student interest to merit one. The lack of med school acceptances could very well be due to having a student body with few students motivated in that direction.
You have SDN, though. It's probably the best advisor out there, if you use it effectively.
The SCHOOL will not prevent you from attending med school. Every school community provides the opportunities necessary to get there; however, your school probably does not emphasize and encourage this path. So, students interested in medicine would have less of a support network.
If you get to the point where you think that the educational opportunities at your current institution are insufficient for you to succeed in what you wish to accomplish, it is a good idea to transfer to a more rigorous institution, if you believe that you can perform well there.
If you are the first in over 10 years, you will be one of their shining stars. Nice thought, eh?