If lying about sex constitutes a "high crime or misdemeanor," certainly Trump has or will have committed much worse, given this list: (from Wikipedia):
The charge of high crimes and misdemeanors covers allegations of misconduct peculiar to officials, such as perjury of oath, abuse of authority, bribery, intimidation, misuse of assets, failure to supervise, dereliction of duty, conduct unbecoming, and refusal to obey a lawful order. In fact, I'm guessing he'll commit all of these before his first 100 days are up. Misuse of assets is a no brainer, since he won't put his in a blind trust, conduct unbecoming, ditto--berating judges and heads of state, tweeting nonsense, his Russian pals rigging the election, bribery and intimidation, check...Just give him time. But jp1 is right, with his corrupt yes-men in charge of both houses, there's little chance he'll pay a price for anything he does.