This, is borderline impossible to answer with any degree of certainty, as the oxygen-less planet is just so fundamentally different from what we have, that any guesses are just that, guesses. But lets give us a chance and just simplify the core of the question and discard everything else.
What is fire. Fire is nothing more, then the most simple way, that we (early humans) have found to generate abundance of useful energy. Why did that help us?
At earliest stages, it made us much more energy efficient. No longer we had to waste chemical energy to keep warm (foraging and hunting whole day to pay our warm blooded evolutionary bill). Cooking food, decreases the energy cost digestion, again saving us more chemical energy for more useful stuff. Even the earliest pottery, allowed us to store food longer, allowing us to not having to work for our food all the time as it took longer for the food to spoil.
As we advanced to future, most of our energy sources were also fire dependent. Burning coal, oil, natural gas, to produce heat and later steam are all part of the same process, we use combustion to change a latent energy of whatever to useful energy.
Gamechanger is the electricity. Which allows us, to replace the combustion. 435
No longer we go from latent chemical energy -(combustion)> heat -> useful, instead we do latent chemical energy -(electricity)> useful (be it heat, motion or both). Once you have a fire independent source of electricity, you can develop in whatever direction you wish.
So the question is, can we skip 10 000 years of combustion based technological development and go straight to electricity? I think the answer is as simple as, do we have an alternative source of readily available energy, that allows us to advance enough to be able to transform other energy sources into electricity.
With difficulties and quite a bit of luck, yes as I see one viable source of readily available energy. Geothermal.
I am picturing a civilization starting around a fault line with stable volcanic activity. By shear luck, the volcanoes remain stable and active for a few millennia, to allow our people to go from stone age, to bronze age, to iron age. Fertile lands surrounding the ridge allow them to grow food surplus and form a scientific/philosophic class, who work on the further advancements. They however remain to be locked to their fertile, energy abundant area.
Introducing iron age <PERSON>. He is fascinated with a rock, that attract iron flakes, and discovers, that sparks sometimes forms when he moves the rock through sufficiently long coil of copper wire. He works on the theory of electromagnetism and gives birth to first generators, which allow him to extract energy form the geothermal steam vents and later hydro-plants and wind-plants. Following which, the humanity is able to spread across the land, as the readily available source of energy is no longer just volcanoes, but any stream of water, or wind ridden valley. From this point on there is no limit to how far they can technologically evolve. 693