Read on to find out when and where the One Night Only movie will be streaming. When will the One Night Only movie be streaming free on Peacock? The One Night Only streaming release date on Peacock has not yet been announced, but you will likely see the One Night Only movie streaming on Peacock later this year. Another Universal release, You Me And Tuscany, will begin streaming on Peacock about four months after the movie opened in theaters. If you want to watch the One Night Only movie right away, your best bet is to catch the movie in theaters.