I found an app by live .com. When I clicked on live, it brought me right to my Hotmail account. You can use either that Chrome app or go right to the one drive site.
I'm not much into MS stuff, but if there is a website for it, you can access it.
Edit: tested on my Chromebox running Version 49.0.2623.95 (64-bit)Platform 7834.60.0 (Official Build) stable-channel mccloud Firmware Google_Mccloud.5827.14.0
Cool, We do use MS services quite a bit since we are fully MS right now. But I am getting a little tired of their constant broken promises regarding w10 and w10m. So, I am looking at getting a Asus zenphone 2 deluxe SE and a new Acer chromebook 14 for some refreshing computing.