Not so much:
The Constitution granted Congress the power to organize, arm and discipline the militia in Article 1, Section 8, Clause 16. Congress, using this authority, has passed five Militia Acts since ratification of the Bill of Rights to regulate the militia. Current law on militia regulation is 10 USC 246.
U.S. Code § 246.Militia: composition and classes
(a)The militia of the United States consists of all able-bodied males at least 17 years of age and, except as provided in section 313 of title 32, under 45 years of age who are, or who have made a declaration of intention to become, citizens of the United States and of female citizens of the United States who are members of the National Guard.
(b)The classes of the militia are—
(1)the organized militia, which consists of the National Guard and the Naval Militia; and
(2)the unorganized militia, which consists of the members of the militia who are not members of the National Guard or the Naval Militia.
The current federal law, 10 USC 246, is derived directly from the power granted the federal government by the Constitution.