like VXGI from Nvidia, it works reasonably well in terms of the performance and visual fidelity not sure if it’s on the roadmap?
Probably not any time soon. Don’t hold your breath.
Besides Eevee, you can use Armory which is free now and has voxel cone tracing for real time GI.
Unitl the moment the bigger engines like UE4 and Unity will support real time GI, there is no big need for Eevee to have it. Most likely these engines will get something like it near the launch off the next gen consoles I think.