There is a reason we call it “the cold vacuum of space”. The temperature of the Universe is a chilly 2.725 K. But it wasn’t always this way. About 2 minutes after the big bang the Universe was a toasty 10 to the 9th K. About a half million years later it was 3000k.
When searching for Alien life we look for planets in the range where water is a liquid (0C-100C). There were about 650 million years when the entire universe was this temperature and any chunk of rock with a bit of water could have evolved life.
It wouldn’t have had to have been circling a star, or doing anything interesting. The “dark side” of planets would have been this temp.
That’s a lot of time to have the potential to create life. Could this been the origin of life on Earth? I think so. I mean there was a lot more time for the creation of DNA during this time then there was on Earth.