You would need to timeslice the rendering process and decrease the resolutions of probes… both don’t work at the moment .
Also it is pretty much impossible to develop a dynamic time of day in HDRP.
Furthermore, with Enlighten deprecation , don’t expect to have such lighting dynamism anytime soon.
I sincerely hope Unity will at least offer ways to blend between several baked lighting so that at least we can fake things out until they come up with a proper solution… in 2021.