Is my number also hidden when I send text messages? No, when you turn off your Caller ID it won’t show up on the receiving end when you make voice calls, however, it will still show up when you send a text message or iMessage to other people. Can I turn my Caller ID back on? Yes, you can turn Caller ID on and off whenever you want, there is no limit on this feature. Can I set it so certain people don’t get to see my Caller ID? While this is not a setting you can access directly from your iPhone, you can use a special code as a prefix to the number you are calling to block your own number. In the UK, if you enter the number 141 before the number you’re calling, your number won’t be shown.