Justice Samuel Alito says Congress lacks the power to impose a code of ethics on the Supreme Court. He becomes the first member of the court to take a public stand against proposals in Congress to toughen ethics rules for the justices.
Although the Constitution establishes the Supreme Court, it permits Congress to decide how to organize it. Congress first exercised this power in the Judiciary Act of 1789. This Act created a Supreme Court with six justices. It also established the lower federal court system.
No, he’s not right.
Source: https://www.uscourts.gov/about-federal-courts/educational-resources/about-educational-outreach/activity-resources/about
Congress gets to set the rules of how the Supreme Court is organized. They are a built-in constitutional check on SCOTUS.
That’s not even mentioning that there is the power to amend the constitution. The constitution by which they are established and bound.
Congress very explicitly does not have the power to amend the Constitution on their own.