I did this exact thing a few years ago in college.
PR was exactly 16:30 for 5k and 9:45 for 2 miles coming into freshman year of college. I spent freshman/sophomore year doing 90 to 100 miles every week focusing on doing well in my tempo runs.
Ended up becoming the best runner of my division 1 team by my junior year earning all conference, all east, all region awards.
Ran low 14 minutes for 5k and 30:XX for 10k on the XC course.
Unless you are already on the national stage in high school you will need to spend the first two years raising and building mileage.
This is an honest post and a true story. This worked for me.
The hardest part is not really putting in the work, but was listening to teammates like tell me it wasn't going to work or I'd get injured.
It was comical to see many of my teammates 'get serious' their junior and senior years when they had blown the first two years of their college running experience logging low mileage and drinking.