They couldn't elect Trump as VP unless the Electoral College submitted votes for Trump as VP.  Contingent vice presidential election by Senate If no candidate for vice president receives an absolute majority of electoral votes, then the Senate must go into session to elect a vice president. The Senate is limited to choosing from the two candidates who received the most electoral votes for vice president. Normally this would mean two candidates, one less than the number of candidates available in the House vote. However, the text is written in such a way that all candidates with the most and second most electoral votes are eligible for the Senate election – this number could theoretically be larger than two. The Senate votes in the normal manner in this case (i.e., ballots are individually cast by each senator, not by state delegations). However, two-thirds of the senators must be present for voting to take place. Additionally, the Twelfth Amendment states a "majority of the whole number" of senators (currently 51 of 100) is necessary for election.[104] Further, the language requiring an absolute majority of Senate votes precludes the sitting vice president from breaking any tie that might occur,[105] although some academics and journalists have speculated to the contrary.