No, that's Star Trek VI: The Undiscovered Country.
The movie you pointed to doesn't exist; it's a conspiracy by IMDB and other parties to make you think there really was a Star Trek V, when in fact there was never any such movie. If you believe there was, then you're a crazy person who probably also thinks there were sequels to The Matrix.
Star Trek V absolutely exists, if it didn’t, I wouldn’t have anything to point to to explain why I ignore Shatner when he tries to say how Gene Roddenberry would disapprove of things in modern Trek.
Star Trek V is the one with "Shakespeare is better in the original Klingon".