As for does scripture directly say evolution is the process? No.
Does scripture indirectly say evolution is the process? No.
Does scripture leave room in its interpretation that evolution is the process? Probably not in the way you think.
We don’t look at scripture to tell us how the climate works, or how tornadoes work, or how fire works , or anything.
Try to use just scripture to explain how the weather works to someone who has no idea how it works.
Try using just scripture to explain algebra or chemistry. You can’t. That’s because the Bible is not a scientific textbook.
Likewise try using scripture to teach about Germania, a complete understanding of the Roman Empire or Sumerians. You will not get to far. That’s because the Bible is not a world history book. It’s not even a complete history of the Jews. Christ, the most important figure in the entire set of scriptures still has very little as far as a autobiography goes. It tells us just a little bit of a few years of his life with the majority of blank. That’s because the Bible is not a autobiographical/biographical story.
Now the Bible mentions a bit of science and history. But that’s not it’s main goal.
So when we come to something like genesis 1-2 we must ask ourselves what’s the genre, what’s the narrative and what’s the literary techniques being employed.
So ask questions like is genesis 1 main point what was created on each day? Is the narrative of day six simply about when humans was created. Are there any literary techniques being used such as what’s important about the time frame of a week ( 7 ) or what does Adam’s name mean. Is it wrote as history or is it being wrote as a mythology tale. If we can determine reasonably that it’s being written as a non literal tale
When we then see something in the New Testament mentioning it we can be fairly certain it’s hyperlink and to understand it we much must consider that original context.
This is where many of us struggle initially. We don’t understand the proper context. We get the context of the story within the story. But we don’t get the context of the writing style. We don’t understand ancient Hebrew world views or how they shared those tropes, patterns and jokes.
When we are watching a horror film and we see promiscuous counselors not paying attention to some dying kid we can be fairly certain some monster is about to show up. When the monster kills the guy first and then then goes after the girl and she trips and falls down three times we are never really shocked. We recognize that as a common trope in horror.
But when we are reading the Bible and it suddenly mentions that God told someone to do something and then it mentions they headed out East we typically just presume it means nothing more than they went east. We don’t realize that it often has meaning deeper than that.
When someone comes up to us that’s 7 foot tall and 400lbs and they say their nickname is Tiny we know
It’s a joke. It’s a funny oxymoronic nickname. But when we see the names of Ruth’s husband we may miss out on the joke.
John Walton’s “ The Lost World “ series is pretty good at doing this. Also the podcast, “ The Bible Project “ also covers a lot of this.
So before asking ourselves does genesis teach evolution, it’s better to ask what’s the purpose of genesis. Then decide if that purpose dismisses the possibility of evolution.