No you can't replace the spikes, however you won't need to, the spike material is unbelievably tough, I have been wearing a pair of elevates with crystal rubber sole (similar) for over a year now and they are like brand new.
Puma needs to go back and emphasize the best stripe in shoes and get away from the cat. The cat is lame and looks bad. The Puma stripe is the best looking stripe of all shoes and no not that lame looking small stripe.