I am not seeing where it has been overturned and cannot be via states.
Motor Voter
https://www.justice.gov/crt/national-voter-registration-act-1993-nvra
THE NATIONAL VOTER REGISTRATION ACT OF 1993 (NVRA)
These questions and answers are designed to provide information and guidance to state and local officials as well as the general public concerning the provisions of the NVRA and its interaction with the other statutes enforced by the Department. The Department welcomes comments concerning this document.
https://en.wikipedia.org/wiki/National_Voter_Registration_Act_of_1993
National Voter Registration Act of 1993
Section 8 of the Act sets out requirements for how States maintain voter registration lists for federal elections. The Act deems as timely those valid voter registration applications by eligible applicants submitted to designated state and local officials, or postmarked if submitted by mail, at least 30 days before a federal election. The Act also requires the notification of all applicants of whether their voter registration applications were accepted or rejected.
The Act requires States to keep voter registration lists accurate and current, such as identifying persons who have become ineligible due to having died or moved outside the jurisdiction. At the same time, the Act requires list maintenance programs to incorporate specific safeguards, e.g., they must be uniform, non-discriminatory, in compliance with the Voting Rights Act, and not be undertaken within 90 days of a federal election.
The removal of voters for non-voting or for having moved can only be done after meeting the requirements set out in the Act. Voters can be removed from registration lists when they have been convicted of a disqualifying crime or adjudged mentally incapacitated, where such removals are allowed by state law. The NVRA also provides additional safeguards under which registered voters would be able to vote notwithstanding a change in address in certain circumstances, such as when a voter has move within a district or a precinct will retain the right to vote even if they have not re-registered at their new address.
Impact
Voting rights organizations have argued that some States have not been complying with the NVRA. In several states, organizations such as Demos, Project Vote, Campaign Legal Center[13] and Lawyers' Committee for Civil Rights Under Law have filed lawsuits or sent pre-litigation letters. In some of these cases, this has resulted in changes in compliance by States.[10][14][15]
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