Transfer to UVA and Vtech Engineering

I am a current William and Mary student 2nd year considering transferring to schools, such as UVA and Virginia Tech for their Engineering Programs. Currently I have not declared a major, but I was pursuing Pre-medicine.
Current Stats:
Current UG GPA: 3.19
Prior to UG:
HS GPA: 4.0
SAT Breakdown:
Math - 720
English- 660
Writing - 700

If you want any additional information just tell me?