1) In some cities CHP + district heating is used for heating in the winter, and the same (or parallel) piping is used for cooling in the summer. Eg https://www.euroheat.org/knowledge-centre/case-studies/helsi... & http://www.districtenergy.com/technologies/district-cooling/
2) In single building systems, ground source heat pumps are sometimes used for both heating and cooling. (https://en.wikipedia.org/wiki/Ground_source_heat_pump)
0) https://www.delta.tudelft.nl/article/can-underground-heat-st...
1) https://en.wikipedia.org/wiki/Seasonal_thermal_energy_storag...
After all, if we could do that, then certainly the same materials could allow smaller houses in cold climates to maintain a comfortable temperature throughout an entire winter without needing any active heating.
That's the general notion behind PassivHaus.
Integral design, internal thermal storage, situational orientation appropriate to site, thermal mass, extensive insulation, minimised building penetrations, and mitigations to address resulting consequences, particularly air exchange, moisture, and condensation.
The engineering is impressive. I recommend the videos, which are long, but information-dense and detailed.
For building-scale storage, there are two factors. One is obviously very good insulation. Both for the building, and for the heat storage. The other is storing latent heat in a medium that changes phase, usually liquid to solid.
And yes, that's the idea. In summer, store heat from solar collectors, and from air conditioning. In winter, use that heat, plus PV electricity.