You are a 13 year old with a mile time of 5 01 is it possable for you to run under a 4 min mile before your freshmen year starts?

No. You have one of the fastest miles in the world already. The fastest woman's time in the world is 4 minutes 12.56 seconds. To get it under that would be amazing.

The fastest man's time is 3:43.14.

You'd be breaking the fastest woman's record in the world by 14 and nearly breaking the fastest man's record.

Not impossible. But highly unlikely. A fourteen year old just doesn't have that type of stamina.