Not really. Look up the “political question” doctrine - it’s an entire realm of problems which the courts cede to the Congress. Courts could make decisions in those areas but they recognize that they would be invading the territory of another branch of government. So, under the notion of separation of powers, they don’t go there. It’s not as though they could grant standing to a plaintiff and then decide a “political question” brought by that plaintiff. In the situation with Obama - again it is a novel (and very strange) situation - but clearly removal of a President once in office is left to the Congress. But their Constitutional imprimatur is to remove on conviction of “high crimes and misdemeanors” while in office only.
Since when did that ever stop them???