 And I had not heard of that theory before. So I did some Googling because I mean, basically, I don't believe that it's possible. Here's what I read. The 12th Amendment reads like this. No person constitutionally ineligible to the office of president shall be eligible for that of the vice president of the United States. Since the former president would not be eligible to run for president, he is almost certainly barred from running for vice president.