I believe that Congress has the power to impose regulations on the courts. Including the USSC in many cases.
Clause 2 Supreme Court Jurisdiction
“In all Cases affecting Ambassadors, other public Ministers and Consuls, and those in which a State shall be Party, the supreme Court shall have original Jurisdiction. In all the other Cases before mentioned, the supreme Court shall have appellate Jurisdiction, both as to Law and Fact, with such Exceptions, and under such Regulations as the Congress shall make.”
Yes, the Congress can forbid the courts from making these injunctions of the POTUS..................