Not according to this:
http://www.historyextra.com/qa/how-many-...-over-alps
Elephants by 218 BC were no longer a novelty to the Romans. They had overcome Pyrrhus' use of them over 50 years earlier. However, they were totally outmatched by Hannibal's Numidian cavalry. The Romans were not great horsemen.
http://www.historyextra.com/qa/how-many-...-over-alps
Quote:In the event, although Hannibal did successfully negotiate the Alpine passes, his losses were considerable. Over half his army died in the severe, cold conditions, Hannibal himself was blinded in one eye, and it is recorded that only one of his elephants survived the trek. This lone elephant was used by Hannibal to ride in triumph into the city of Capua.
Elephants by 218 BC were no longer a novelty to the Romans. They had overcome Pyrrhus' use of them over 50 years earlier. However, they were totally outmatched by Hannibal's Numidian cavalry. The Romans were not great horsemen.