Pursuant to Article III, § 2 of the United States Constitution and Fed. R. Civ. P. 79(a)(1)(A), does not The All Writs Act (28 USCS § 1651(a)) invests the United States Supreme Court justice(s) with a power essentially and equitable and, as such, not generally available to provide alternatives to other adequate remedies at law, to issue a mandamus order to compel Clerk David J. Smith in the Federal Court below to fulfill his duty?

Whether the All Writs Act empowers the Supreme Court to issue a mandamus order compelling a federal court clerk to fulfill his duty