It"s a very likely scenario as he seems incapable of self control. There may already be cases in the works.  It would not however set a president.  That honour goes to President Clinton in 1999 as reported by the New York Times on April 13 of that year.
"A Federal judge held President Clinton in contempt of court today, saying he had willfully provided false testimony under oath about his relationship with Monica S. Lewinsky in the sexual misconduct lawsuit filed by Paula Corbin Jones. In a scathing 32-page ruling, Judge Susan Webber Wright said Mr. Clinton testified falsely in a Jan. 17, 1998, deposition that he had not had sexual relations with Ms. Lewinsky. Judge Wright, of Federal District Court in Little Rock, Ark., said the President's actions had subverted the rule of law and violated Ms. Jones's right to information relevant to her case."