Even though all logical thinking led me to believe, and now know, that the AIM app would be completely data and not count towards text messaging, every single person I spoke with at AT&T this morning scared me into thinking it really did. So I thought, I'll just block text messaging and if it really does count I just won't be able to use it and then I'll figure out what to do from there. Well, the lady who processed me said I couldn't block texts on an iPhone. Is this true? If not, how do I block text messaging? I'LL SPARE YOU THE READING: YOU CAN BLOCK TEXT MESSAGING. CALL 611.