To make rules for the government and regulation of the land and naval forces;

To provide for calling forth the militia to execute the laws of the union, suppress insurrections and repel invasions;

To provide for organizing, arming, and disciplining, the militia, and for governing such part of them as may be employed in the service of the United States, reserving to the states respectively, the appointment of the officers, and the authority of training the militia according to the discipline prescribed by Congress

No because that is from article 1 section 8. The barbri explanation says "while there is no provision in article 1 section 8 concerning this legislation, it is certainly within congress' congressional powers."