Despite the recent speculation, no, Rare Replay is remaining exclusive to Xbox One.
Recently, when the Minecraft release date was announced for Wii U, a Twitter user asked the owner of Mojang, Microsoft, if Nintendo gamers could ever see Rare Replay come to a Nintendo console as well. Microsoft replied by saying that the question should be directed towards "the great folks" at Rare Ltd. This gave the impression to many that it could very well be possible.
However, today, Rare Ltd. has touched on the subject and if you were hoping they would make our wishes come true, unfortunately that's not the case. Here's their Tweet:
Lots of Qs about Wii U! But #RareReplay’s exclusive to Xbox One, and we’re hard at work on Sea of Thieves. Appreciate the enthusiasm though!— Rare Ltd. (@RareLtd) December 14, 2015
Sorry to get your hopes up!