War, war never changes
The main accelerator of progress seems to be war. War is always cutting edge. So if you want fast scientific progress keep them in near perpetual war. This gives them a state level reason to develop and research as their very survival depends on it. War has brought us the rockets of spaceflight, atomic power, the internet, jeeps, railguns and drones.
Another avenue that could greatly speed up their development could depend on their physiology. Perhaps they got an innate understanding of electricity or radiation. These could jump start several technologies by centuries. Or perhaps a shared consciousness and memories. That would probably exclude perpetual war though.
I can’t see a species that shares memories come to the misunderstandings that led to our wars. How can you see the enemy as the ‘other’ when you know their feelings, their emotions? But it would harden the species against loss of information and technology akin the fall of the Western Roman empire.
Mostly no though
To my knowledge there hasn’t been any events in human recorded history that set us back more then centuries and even that. The fall of the Western Roman empire was a dark spot but nothing too major. The economy created by Rome collapsed and with it the local specialization. You can’t focus on metallurgy if you’re starving because Egypt no longer supplies you with grain. And with that the local road network collapsed, knowledge of great architecture was lost.
But only in Europe, the Eastern Roman empire endured with all its knowledge. Asia endured without a hitch. Africa saw great empires rise and fall completely unrelated. Even in Europe much knowledge remained. Within centuries with outside help Europe rebuild.
Necessity is the mother of invention. Our most common necessity has been survival. After that came war, which supplied us with a new threat. Have your species threatened, it would force them to find ways to even the odds in their favor.
I don't think you can achieve your advance with your limits. I mean an early miracle that leads to electricity would help but that still requires extensive theory to be practical. At best I think a couple of centuries to maybe a millennium but not more than that.
There are plenty of reasons why progress would be even slower honestly. The American continent saw many of our common technologies never come to fruition till Europeans introduced them much later. If your species has no access to high quality ores that could be a huge slow down.