Yes, a BE student can enroll in an M.Tech in Computer Science and Engineering (CSE) at IITs through GATE, even if they have not completed a B.Tech. As long as the student holds a BE degree in a relevant engineering discipline (such as Electrical, Electronics, or Information Technology), they are eligible to apply for M.Tech in CSE through GATE. It’s essential to check each IIT’s specific eligibility criteria, but generally, BE students can pursue M.Tech in CSE if they meet the requirements.