This basic timeline is sort of human-centric as it nears modern times, but it provides a more detailed series of events than your basic four level timeline that you have been using. I pulled this from the internet and use it for expediency.
CK12-Foundation
According to the evidence, the best estimate for the age of the Earth is about 4.6 billion years old.
About 3.5 - 3.8 billion years of simple cells (prokaryotes).
3 billion years of photosynthesis.
2 billion years of complex cells (eukaryotes).
1 billion years of multicellular life.
600 million years of simple animals.
570 million years of arthropods (ancestors of insects, arachnids and crustaceans).
550 million years of complex animals.
500 million years of fish and proto-amphibians.
475 million years of land plants.
400 million years of insects and seeds.
360 million years of amphibians.
300 million years of reptiles.
200 million years of mammals.
150 million years of birds.
130 million years of flowers.
65 million years since the non-avian dinosaurs died out.
2.5 million years since the appearance of Homo.
200,000 years since the appearance of modern humans.
25,000 years since Neanderthals died out.
Keep in mind that these are estimates based on the most recent available evidence and our best understanding of that evidence at the time the list was made.
What I see is a gradual evolution of living things and the major developments that have occurred regarding living things on Earth from the beginning based on the evidence (evidence from a multitude of disciplines including geology, paleontology, biochemistry, molecular biology, genetics, chemistry, physics...)
I did find some indication that the first DNA may have arisen on Earth as early as 4 billion years ago, but there is no definitive timing indicated for the origin of nucleic acids, so your wondering seems largely based on concluding that DNA arrived at or about when the evidence indicates first living things. Considering that certain biomolecules like DNA had to predate that and we do not know when that is exactly, all we can say is that critical biomolecules came first and then the evidence of simple, prokaryotes are found.
Since we all start out as a single cell that has to go through gradual development over time, and we have a plethora of such examples, I do not fully understand why the timing of these things would lead anyone to use a very limited version of that timing as reason to doubt it could occur. It implies a knowledge of some "true" chronological value or expectation that I cannot see a person having.