Yes, a 13-year-old can technically be enrolled in college, though it is an extraordinarily rare occurrence reserved for profoundly gifted prodigies who have completed their secondary school education years ahead of schedule. Such exceptional students usually enter specialized early-college entrance programs or local universities with explicit parental and administrative consent. However, navigating the rigorous academic workloads, social dynamics, and developmental adjustments of a university campus at such a young age requires immense emotional maturity, robust institutional support, and customized accommodations to ensure the student's overall well-being and long-term success.