I am currently a freshman at Vanderbilt and am looking to transfer to NYU Steinhardt as a sophomore in fall 2020 for the applied psychology major. I have a 4.00 GPA at Vanderbilt, had around a 4.25 GPA in high school (out of 4.00 for regular classes but out of 5.00 for honors and AP classes), and have a 1530 SAT score.
Strong application. Paired with a good essay to show fit, should be a decent chance. There are some transfer threads in the NYU forum you can browse through to see past experiences of others.