Yes, Ted Danson did go to college. He attended two different universities during his higher education.
Ted Danson's Collegiate Journey
Born Edward Bridge Danson III, Ted Danson initially enrolled at Stanford University. During his sophomore year at Stanford, he developed a keen interest in drama. This new passion led him to transfer.
He subsequently transferred to and attended Carnegie Mellon's College of Fine Arts. His studies in drama at Carnegie Mellon helped lay the foundation for his successful acting career, which famously includes his career-defining role as Sam Malone in the hit television series Cheers, which he landed in 1982.