As New York recorded its largest single-day total of deaths from the novel coronavirus, Gov. Andrew Cuomo said Friday he would enact a new measure to support hospitals by shifting ventilators to those facilities with the greatest needs.

Mr. Cuomo, a Democrat, said the state recorded 562 deaths over the past 24 hours, its highest daily total since the rise of the pandemic. In all, 2,935 have died statewide from the disease.

In...