Yes and no. Remember: the outcome of an impeachment trial is acquittal or conviction. That is the official language. The questions raised by the behavior of a president who's been impeached is whether he's committed "high crimes and misdemeanors."
And this addresses the question under consideration:
FEDERAL IMPEACHMENT AND CRIMINAL PROCEDURE: THE FRAMERS' INTENT
This article examines whether or not the framers of the U.S. Constitution intended that the impeachment of a Federal public official should be considered a criminal proceeding subject to all the constitutional guarantees for such a proceeding.