Reading comments on previous question (about faithless electors replacing VP), one sentiment expressed was that there's pretty much no way to undo anything that faithless electors do if they choose not to obey the electoral votes.
Assuming that the partisan makeup of both the House and the Senate allows for enough votes, is it technically/legally feasible for the Congress to "undo" such a faithless elector's behavior, by impeaching whoever they pick as President - not for anything that person did, but just because the "electors chose faithlessly"?
I'm not asking if it's politically feasible, or how likely it's to happen. Merely if the idea is even technically/legally plausible.