That'd be a massive break from tradition in the US. AFAIK the only formal mechanism they have to separate the official from the person behind the role is impeachment by Congress. Apart from that there isn't really a mechanism to handle brazen corruption.
And US presidents have a long history of corruptly and brazenly benefiting themselves. Sometimes you see those before-and-after charts showing how much money they make while in office in excess of the official salary. The typical modern US president makes at least 10 of million in office and it isn't from the salary. Nobody likes it, but there is an open question of what exactly can be done about it.