Yes. While UT Austin sets aside a majority of their seats for in-state students, 10% of their class each year comes from across the country or around the world. The application process is exactly the same for in state or out of state students. Applications are also evaluated the same way, though out of state students are not considered for automatic admission. International students need to prove their proficiency in English through standardized exams, but otherwise have an identical set of requirements for admission.