Yes, he can. But Florida's electoral vote can't go to the pair.
If it is a close election and the electors of the Vice Presidential candidate have to go to someone else from a different state, it is conceivable that the Vice Presidential candidate might not make it to 270 electoral votes.
If no candidate for Vice President has a majority of the total (538) votes, the Senate, with each Senator having one vote, chooses the Vice President.