You can still see the texts that were sent before you blocked message on iphone a number in your existing conversation thread on iPhone. Blocking a number only prevents calls and messages from that number in the future; it does not automatically delete the previous SMS or iMessage history. To look at them, just launch the Messages app and search for the person or phone number you blocked. You will be able to read all the texts that were delivered before the block was put in place. Nevertheless, the messages sent after blocking won’t show up. If you want to receive new messages from them, you have to unblock the contact because the blocked messages are not saved or recoverable later.