Sentence 1: I didn't think it was possible
Sentence 2: I had no idea it was possible
A friend asked me if Sentence 1 was grammatically correct or not. I advised him to rewrite it as Sentence 2 in case Sentence 1 didn't sound right to him. But he didn't agree to it because he thinks 'did' is used when something has been performed and 'had' is used to refer to something that someone possessed