I have been using the WordPress and its back-end (admin panel) for more than 3 years now from my Chromebook. I never had any issues at all with my Chromebook not been able to manage it for me.No error pages, white screens or browser messages. The Chrome browser is capable enough to easily handle the relatively lightweight WordPress setup through cloud.
Source: Blogging with Chromebook – Can it Handle Everything? [2017 Update] » REASONTOUSE