What exactly are you asking? Will a Chromecast will be able to stream Xbox one content?
I went searching for answers when Valve was talking about Streaming Steam content and found this in reference to using Chromecast and Steam big picture.
there's a few issues.
most things that work well on the chromecast are actually running local on the device. ie. youtube player is running on the chromecast and connecting directly to the url for the video. so it's not streaming the result from your other device. this will pretty much mean unless steam and the games are running on the chromecast (know any steam client/games that run on android?) then the only way to use this to connect steam games to is via streaming..
from what I understand the 'casting' of something like a chrome tab to the chromecast device has extremely high latency. there are demo videos on youtube showing there is a huge delay between something happening on the browser and whats happening on the cast screen. this would render almost all games unplayable.
so the answer I would think is
But iono i found this on the net so take with grain of salt.