Oh no, far from it. Harry was envious of his brother and wished Catherine was his girlfriend not William’s. Catherine was Harry’s ideal woman. Good looking, slim, sporty, great sense of humour, fun personality. Harry did not bother to hide his admiration for his sister in law which did not go down well with Meghan Markle!
Catherine related to Harry in very much the same way she related to her younger brother James. Harry and James were of a similar age and like Harry, James had also struggled with his mental health. Catherine and the rest of the family had been very supportive of James and Catherine had even accompanied James to his therapy sessions. Harry claimed that he saw Catherine as the big sister he never had. Possibly, but I also think he had a crush on her!