In a word, "Yes!". Recent studies have revealed that today's consumer wants to receive special offers and important information delivered conveniently to their cell phone. They don't read their email anymore, and they have become accustomed to having their mobile phone with them everywhere they go.
Besides, they are proving that they want to receive information from you by opting in to your list using your keyword. As long as you treat your subscribers with respect and provide them with real value, they will look forward to your broadcasts and respond to your offers.