That's correct. "The Times, Places and Manner of holding Elections for Senators and Representatives, shall be prescribed in each State by the Legislature thereof; but the Congress may at any time by Law make or alter such Regulations, except as to the Places of chusing Senators."

Technically all elections are state/local elections. We don't directly vote for anything at the federal level. Each state has full control over who which presidential candidate it sends its electoral college votes to. That's why states like Virginia can decide to send all of theirs to the winner of the national popular vote.