No. Impeachment isn't a legal proceeding, but a political process used to remove an official from public office. The Constitution gave exclusive authority over impeachment to Congress, the Legislative branch of government. The US Supreme Court has no authority or jurisdiction over such matters.
This question was explored in Nixon v. United States, 506 US 224 (1993) [No relation to former US President Richard Nixon, see United States v. Nixon, (1974)]. An impeached Mississippi US District Court judge, Walter Nixon, appealed the Senate's impeachment ruling to the US Supreme Court. The Court held that impeachment proceedings are non-justiciable, and are political matters, or the province of Congress. The 1993 Nixon case set a formal precedent preventing officials from appealing their impeachment in court.
For more information, see Related Questions, below.
In does
In cases involving ambassadors, it is the Supreme Court of the United States that has original jurisdiction. The Supreme Court was formed in 1789.
cases that go directly to the supreme court
The Supreme Court of the United States has federal jurisdiction. The Supreme court can also be used as an appeals court for state and local charges.
The state Supreme Court that has jurisdiction over cases originating in Omaha is the Nebraska Supreme Court, which meets in Lincoln.
Congress has authority to set or change the US Supreme Court's appellate jurisdiction. The Supreme Court itself has full discretion over which cases it chooses to hear under its appellate jurisdiction.
supreme court
involving two or more states
No. The US Supreme Court and International Court are unrelated and have jurisdiction over different types of cases.
Cases from its appellate jurisdiction.
Having appellate jurisdiction means that the Supreme Court hears cases that have been in trial before. A majority of cases that the Supreme Court hear are either controversial, or some kind of trial error took place in a prior court.
There are nine justices on the US Supreme Court: one Chief Justice and eight Associate Justices. Most cases reach the Court under its appellate jurisdiction. The only cases the Supreme Court hears under original (trial) jurisdiction are disputes between the states.