No, no it couldn't.
There is literally no threshold beyond the political for the act of impeachment.
There is, it was established roughly 1388.
That 1388 carries no legal weight. The constitution does not define high crimes and misdemeanors. They may look to England circa 1388 and common law, but it carries no legal weight at all. Anything that a simple majority of the house and 2/3 of the Senate agrees was wrong... works fine.
And it is not subject to Supreme court review.