The 12th amendment, if Conservapedia is of any indication, says otherwise:
“Leftist retaliation against Trump and his supporters begins with a vengeance: House Dems demand to impeach Trump, and mass arrests of pro-Trump protesters (not the Antifa infiltrators) occurs. The House GOP could still reelect Trump under the Twelfth Amendment with a majority of state delegations.”
And Andy Schlafly elaborated on that bit when I asked him:
“The Twelfth Amendment grants the House (voting by state delegation, where the GOP holds a 27-20 majority) the authority to elect the president based on a count of the [[Electoral College]] votes in which no one gets 270 legitimate votes. The Twelfth Amendment is silent about who does (votes on) the count, but implicitly that power is in the House (voting by state delegation). The House has a quorum by state delegation to convene, vote on the count, and then elect the next president. But Trump’s inept advisers are hiding this option from him.”