As most fans already know, there is an incredibly current Jack Ryan project already happening, the Amazon Prime television series "Tom Clancy's Jack Ryan" which stars John Krasinski as Jack. So far, fans have seen two seasons of the show on Amazon Prime, and most of the reviews have been positive (via Rotten Tomatoes). It wrapped production on Season 3 recently and it was reported in October 2021 that it had been renewed for Season 4 as well (via The Hollywood Reporter). Needless to say, this Jack Ryan project is still going strong, which unfortunately means that it would be very unlikely for Chris Pine to continue his role as Jack in the films.
Not only would it be confusing if Pine were to do a film as the same character Krasinski is currently portraying, but back in 2014 after the release of "Jack Ryan: Shadow Recruit," Pine spoke with Variety on a possible sequel. He noted that it probably won't happen because it didn't make enough money, which is true, given that the film barely made $50 million dollars domestically on a $60 million dollar budget (via Box Office Mojo). Pine explained at the time that it's one of his "deep regrets" that they didn't seem to get Jack Ryan right in his movie.
Although some believe it's worth another look (via Collider), based on the success of the new Jack Ryan series and Pine's comments, we probably will not get a sequel to "Jack Ryan: Shadow Recruit," at least anytime soon.