Give a man a fish and you feed him for a day; teach a man to fish and you feed him for a lifetime.

No. The proverb about giving a man a fish, and teaching him to fish, is not Chinese, and it is not Laozi. The earliest fishing version appears in 1885, in the novel Mrs. Dymond by Anne Isabella Thackeray Ritchie. A US newspaper called it a "Chinese proverb" in 1961. The link to Laozi came later still, in the 1970s and 1980s. Quote Investigator followed the sentence from that Victorian novel to the borrowed labels. The Chinese byline is the late part of the story, not the origin.

An English novel of 1885 does not become a line of the Tao Te Ching because a later printer added the wrong name. No Chinese source has been produced for the saying. That is why the verdict is fake as a Chinese proverb, and the confidence is high. If you tell the story about teaching someone to fish, name Ritchie and Mrs. Dymond. If you want a real Laozi sentence about how a large thing starts, use Tao Te Ching chapter 64, on the journey of a thousand li, which is actually in the book.