Yes, many Aloe Vera plant nurseries and specialist succulent stores use a range of innovative methods to carefully send cactus in the mail. Smaller, baby aloe plants are often shipped bare-root, wrapped in a paper towel with the whole plant wrapped in a protective layer such as newspaper.  Larger Aloe Vera plants require special packaging boxes that protect their overall structure in transit. In addition, many plant shops and nurseries will often ship on Mondays and Tuesdays only to minimize the chance of a cactus plant being held over the weekend.