Did Demacia, at least in it's early stages, exist during the time of Ancient Shurima?

Well Poppy was around during the early Demacian times, and she's apparently been looking for a suitable holder for the Hammer for a couple of centuries. Ancient Shurima on the other hand is constantly referred to as having existed millennia ago. Thats some 100s of years versus some 1000s of years. Probably weren't around at the same time.

The desert below fades into the night trailing behind me as I streak onward across lonely steppes, then over rolling brown hills gently flecked with greenery. The pastoral scenery belies a field spattered with blood and littered with the dead and dying. Survivors hack away at each other with rough-hewn axes and scream battle cries. One side is losing quite badly. Stag skulls rest atop pikes stuck into the soil, next to writhing warriors. The few still on their feet are encircled by soldiers riding great shaggy beasts.

Those defeated, surrounded few see me and valiance seems to surge through their veins. The wounded rise and grasp their axes and bows in a final stand that throws their foes off guard. I don't linger to see the rest of the little clash play out because I've seen this scenario unfold a thousand times: The survivors will scratch my comet likeness onto their cave walls. In a thousand years, their descendants will fly my image on banners and undoubtedly ride into a tediously similar battle. For all their efforts to capture and record history, one ponders why they do not learn from their mistakes. That is a lesson even I have had to suffer.

It's more than a little questionable whether this is truly canon, but I know there's at least one theory that this section from Aurelion Sol's story piece is referring to him passing over what will one day become Demacia (their emblem could be construed as a comet and its trail) after first overlooking Shurima during its years of glory.

I would like to know. Riot pls answer.

We really have nothing to place Demacia or Noxus during Ancient Shurima's time. The only city states we are aware of is Targon, the people of the Freljord, Shurima, Icathia, and the ancient kingdom that will become the Shadow Isles. Oh, and Mordekaiser's fortress that becomes the central core of the Noxus city state in the far future.