Per Wikipedia, there is a connection between the two:
"The Bridge of Sighs in Cambridge is a covered bridge belonging to St John's College of Cambridge University. It was built in 1831 and crosses the River Cam between the college's Third Court and New Court. The architect was Henry Hutchinson.
It is named after the Bridge of Sighs in Venice, although they have little architecturally in common beyond the fact that they are both covered. The bridge is one of Cambridge's main tourist attractions and Queen Victoria is said to have loved it more than any other spot in the city."
Thank you, Diane, for the photos!