You have a shot. Your scores are on point and, most importantly, you have solid EC for fit to major. At many competitive high schools people outside of auto admit get in to competitive majors. Data science is considered a “moderately competitive” major according to a major UT consultant who publishes his opinions on these kinds of things. Not a guarantee but since your rank is from a competitive in state school I’d say you are in the mix. Good luck.
ETA I just noticed 3.65 GPA. Not sure how I missed that when I first wrote this but your grades are low for this. Still, top 19% from a competitive in state school (that part is key) with top test scores and solid ECs would potentially keep you in the mix for Data Science. Give it a shot.