No, Episerver doesn't support .NET core as yet. It's been moving toward .NET standard 2.0 compatibility (it may be there already) to support this migration but there's a lot of work to do especially in the admin and forms which is heavily built around webforms.
It is coming however, it's on the roadmap.
The evolution of the platform over the last year or two has actually enabled internal product developers to get a version of Episerver hacked together that does deliver content in a linux environment.
As Scott says - its not here yet, but its close and constantly getting closer.
this is my latest status
it's inevitable. netcore is coming! :)
just not to confuse - I'm not on epi team, this is our own project - in prepration for the roadmap ahead of us.. ;)
Great! Can't wait to get a working CMS in a Linux environment! Thanks!