Will going to a better high school for 9th grade increase my chances into getting into IMSA?

Currently, I’m bound for a semi-decent high school which is the 81st best high school in my state, and 1974th best in the US. I am applying for a high school called IMSA (illinois Mathematics and Science Academy), and I was wondering if going to a better high school, such as Adlai Stevenson High School or Northside College Prep, would increase my chances into getting into IMSA.