Ward leaders do have the option to send emails or texts to all members in a given organization [those who have cell phones that can receive texts recorded as their individual phone number]. When you're looking at a list, on iOS, there's a box with an arrow coming out of it icon that provides that option (I assume something similar in Android). However, if the list (for example, the elders quorum presidency, or the members of the Gospel Doctrine class, or the same for a custom list) is bigger than 10 people, it will fail because of cell phone service provider limitations.
Samuel Bradshaw • If you desire to serve God, you are called to the work.