While the "Pirates of the Caribbean" franchise has had several video game adaptations in the past, they were not tied to any specific film. The most recent game, "Pirates of the Caribbean: The Legend of Jack Sparrow" (2006), was based on the first three films, and its sequel, "Pirates of the Caribbean: Armada of the Damned" (canceled), was expected to have a story more closely aligned with "On Stranger Tides."
It's worth noting that the popularity of the franchise and the potential for a live-action game tied to "On Stranger Tides" haven't gone unnoticed. There's always a possibility that a game could be developed in the future, but as of now, there are no official announcements or projects confirmed.