It would be a crime for the traditional citizen, but Impeachment is not a matter of whether the law is broken, but whether the senate feels, by a 2/3 majority, whether the president's actions fall under the circumstances for Impeachment called for in the Constitution, which are Treason (not applicable here), Bribery (not applicable here), and "other high crimes or misdemeanors", which the senate can define however they like.
If they can define high crimes and misdemeanors however they like, they can define Treason and Bribery however they like too. Regardless, we really don't know if they aren't applicable yet.
And before you ask, no, the president cannot be removed from office via the courts. Aside from cases where the president is convicted by the senate and refuses to step down, or refuses to step down at the end of their term, the judicial branch has no authority to remove the president from office.
They don't have the authority to remove the President even in cases where s/he refuses to step down. It would be a completely unprecedented situation and would depend entirely upon who the government and military were willing to back. If it was a contested reelection, with both parties claiming foul, it could be a crisis. If it's just a rogue President who wants to be a dictator or something, s/he would probably be ignored. If the term is up or the President has been removed, the powers of the office are gone anyway.
