A more reasonable question would be whether or not CONGRESS has the authority to do such a thing, and even then I would have to believe it does not. The Constitution gives the states the power to certify their electors, and one consequence of this is that Congress really can’t compel any state to “verify” its electors and the process by which they were selected.
Of course they don't, in fact the whole business about Congress "certifying" the election is nonsense.
Like good sons of the Westminster system, the Philadelphia convention members debated EXTENSIVELY involving Congress, or the House, or the Senate, in the process of choosing the President. All such proposals were rejected in favor of the State Legislatures choosing the President via the indirect method of the Electoral College.
Congress's powers under Articles I, II and Amendment XII could not possibly include "certifying" a "Presidential election" which appears nowhere in the Constitution and which in fact, in its present form, would have horrified the Founders.