Yes. Andrew Johnson was drunk at his inauguration. As Abraham Lincoln's running mate in the 1864 U.S. presidential election, Andrew Johnson campaigned incessantly across the country, until he became exhausted and contracted malaria. When he awoke on March 4, 1865, the day of his inauguration as vice president, he could barely get out of his bed. To fortify himself, he drank "medicinal" whiskey and quickly became intoxicated because of his sick and weakened condition. When he began to ramble drunkenly through his inauguration address, officials actually interrupted him and administered the oath of office. Because he slurred his words and repeated his lines incorrectly, this took a considerable amount of time, after which Andrew Johnson launched into yet another bout of inebriated oratory., Finally, a Supreme Court Justice mercifully led him away from the crowd of people.

So, the answer to this question is yes. Andrews Johnson was drunk at his vice presidential inauguration speech.