Nope.
If Cruz were elected and disqualified, it would have to have been the doing of the new Congress, counting the votes early next year.
That would throw the election to the House, voting state-by-state. If the purported electoral college winner were to lose, the winning ticket (president and vice president) would be whichever they chose.
That would throw the election to the House, voting state-by-state. If the purported electoral college winner were to lose, the winning ticket (president and vice president) would be whichever they chose.> --
Where is your authority for the proposition that the winning ticket (Pres and VP) is tossed if the Pres on that ticket is found ineligible by Congress (sitting in early January). 3 USC 15 - Counting electoral votes in Congress? Or elsewhere in Chapter 1 of 3 USC? Or directly from the US constitution?
Please cite the relevant legal authority for your proposition.