No, Chinchillas can’t eat Styrofoam. As Styrofoam is unable to digest for the chinchilla, it is better not to feed chinchilla. It is type of polystyrene foam which cause problems to the chinchilla. The problem of feeding Styrofoam is that this is not get easily digested. So this will cause severe digestive disorders related to stomach. So it is advisable not to feed Styrofoam to the chinchilla.