Whether there will be a future movie adaptation of the series or a continuation of the existing film series depends on several factors, including the availability of the rights to the source material, interest and support from the studios, filmmakers, and audience, as well as the overall viability and potential success of such a project.
As of now, there is no definitive answer or concrete plans for another Narnia movie. It is possible that future developments could lead to another adaptation or continuation, but until official announcements or updates are provided by the relevant parties involved, it is not possible to confirm or predict the future of "The Chronicles of Narnia" on the big screen.