Hurricane Matthew has led Democrats to push for Florida to extend its voter registration deadline of Tuesday, as the party fears that its get-out-the-vote effort will be derailed in the waning days of the drive because of mass evacuations and other aftereffects of the storm.

Gov. Rick Scott, a Republican, declined on Thursday to extend the deadline after a call from Hillary Clinton’s presidential campaign to accommodate people disrupted by the storm.

“Everybody has had a lot of time to register,” Mr. Scott told reporters in Tallahassee.

With the registration deadline on Tuesday, the storm caused Democratic-leaning groups to put off plans for registration drives, which typically draw a surge of new voters in the final days before registration ends.

About 50,000 people registered in the last five days before the cutoff in 2012, according to Daniel A. Smith, an elections expert at the University of Florida.