Only one president has done so – Franklin Delano Roosevelt – but others considered it, and even tried.
A president’s persona is always a public act. In that way, Trump's shtick – vulgar man of the people – was not exceptional. And every president has had to invent his version of the role.
When the electoral process was helped along by practices that either were or appeared to be underhanded, the resulting wounds took a long time to heal – and may not ever have healed.