Should I give up when a boy sends a text message saying that he should stop texting him?

In this case, I advise you to give up. Although he also likes you, they are all people who want to get married after all. You don't need to hang yourself from a tree anymore. Besides, he said he didn't want you to give him any more information. He probably didn't like you. So, personally, I think you should give up. In fact, perhaps, there are more men who are better than him, and there are people who really belong to you. Maybe they haven't shown up yet.