Transfer from Stony Brook to NYU

Hi, I am applying to NYU as a junior student at Stony Brook. Let me get some advices and chance to go to NYU. I’m an international student

Major : Engineering > Economics
GPA in Stony Brook: 3.43 (1st semester : 2.3 2nd: 3.2 3rd: 3.85 4th: 4.0, All A in the last semester)

New sat :1460/1600 (M800 R660)

Ec :

  1. Military experience
    :Spent two years in US army in Korea. Worked as a battalion senior sergeant.
    2.Basketball team
    : member of varsity team in high school
    created basketball team in college
    3.High school English tutoring volunteer
    : I went to Korean high school every friday with 4 US soldiers to help students to learn English

Do I have a chance to transfer from Stony Brook to NYU? Please let me know