I mean, while not for the same reasons as the show Celeborn canonically was apart from his wife and daughter for a long time in the Second Age even in the Tolkien timeline. After Galadriel and their daughter went through Khaza-dum to live with Wood Elves (around 1350-1400 SA) he stayed in Eregion (he hated Dwarves and wasn't going to go through their kingdom), and almost 300 years after they left he was still there, he'd fight in the Sack of Eregion (1697 SA) and would eventually follow Elrond to the place where Elrond would found Riverdell. Galadriel and their daughter, not knowing what happened to Celeborn because of all the fighting, go searching for him and would eventually meet up with Celeborn in Rivendell sometime after 1701 SA. Even assuming his Wife/daughter would occasionally visit when during the time they lived a part, they were still living separately for centuries. Then, when Galadriel leaves Middle Earth at the end of the Third Age, Celeborn stays for at least 120 years into the Fourth Age before leaving Middle Earth to finally join his wife and Daughter over the sea by taking the last ship leaving middle Earth. I know a lot of that either doesn't fit or is irrelevant to RoP, but I'm just saying that Celeborn and Galadriel being apart, sometimes for centuries (and even Galadriel not knowing where he is during that time) fits their characters stories.