Answer
The answer is no. Benjamin Harrison never ran for the U.S. Presidency. He served as the 23rd President of the United States from 1889 to 1893, but did not run for a second term. Contrary to popular belief, his grandfather, William Henry Harrison, was indeed elected as the 9th U.S. President, serving from 1841 until his death a month later, making him the first president to die in office.