Numbers from the past two decades prove it
"New York consistently ranks as one of the worst voting turnout states in the nation."
— Politifact New York on Thursday, February 1st, 2018
His claim checks out
"House Bill 6627 also requires the applicant to attest to their eligibility to vote, as is required by the National Voter Registration Act and used by all other states that have (automatic voter registration)."
— Politifact Illinois on Tuesday, January 17th, 2017