I doubt it if you are using the stock anything, Hangouts or Messages. Handcent has an array of options and they can be customized for individual contacts. So person A sends you stuff you don't care if the world sees while person B sends you stuff that you don't want anyone in the world to know they sent. You can customize person B's alerts to be any combination of icon, sound, vibe, preview, or popup quick reply box. They also offer a privacy in-box where not only do the messages not appear along side your closest and most conservative friends but one that you can lock others out of. I think Go SMS offers something similar however I just prefer Handcent.