No, both public and private institutions have the sole discretion of allowing or disallowing students to carry a firearm.
Students should reach out towards school officials in order to seek changes within their university’s policies to allow for campus carry, or contact state representatives and request legislation to require colleges to permit the carry of a firearm.
For the first offense a student could be imprisoned for not more than one year or fined not more than $1,000.00, or both, and for a second or subsequent offense they could be imprisoned for not more than three years or fined not more than $5,000.00, or both per the Vermont Statutes Title 13 Chapter 085 Section 4004.
All campuses are eligible under state law to permit carry to any student, and they should change their policies to permit the carry of a firearm for students.