It already does. Here is the list of prohibited persons:

convicted in any court of a crime punishable by imprisonment for a term exceeding one year;

who is a fugitive from justice;

who is an unlawful user of or addicted to any controlled substance (as defined in section 102 of the Controlled Substances Act, codified at 21 U.S.C. § 802);

who has been adjudicated as a mental defective or has been committed to any mental institution;

who is an illegal alien;

who has been discharged from the Armed Forces under dishonorable conditions;

who has renounced his or her United States citizenship;

who is subject to a court order restraining the person from harassing, stalking, or threatening an intimate partner or child of the intimate partner;

or who has been convicted of a misdemeanor crime of domestic violence.