No. When they announced guild battlegrounds, they stated very clearly that bringing GvG to mobile is an idea that has been considered and rejected:
"Would participation rate improve if we added the current GvG feature to the mobile client?
Yes, it would. Would the experience overall be much better than on browser? The answer is unfortunately, no. Technically speaking, there are too many restraints to offer a convincing experience on mobile. So, also here we decided against taking this step."
There are no plans to port any part of GvG to mobile. As for any other features, including chat, Inno may or may not be working on porting them to mobile, but they want no proposals about doing that. Therefore, I will close this thread.