There’s an addon that implements SSGI using only built-in shaders. I like their hack and find the idea to be very elegant. I’m sure it is somewhat possible to implement as an Eevee rendering option, and it can become even more effective.
On the other hand SSGI has its own inherent problems and it is barely compatible with light probes. With RTX coming to the scene it becomes even less of a priority.
So, is there a plan/need for SSGI in Eevee?