There is non-axiom FTL, it's just slower (≈700c?) and experimental.
“Our main ship, The Dauntless, was able to work properly in Cruel Space, including crossing a distance of about a quarter of a percent of the galaxy wide in just four months. Now that’s a very long time compared to Axiom assisted travel but...”
https://www.reddit.com/r/HFY/comments/10svg9j/out_of_cruel_space_part_584/
...and a little spicy:
First problem was that trying to get anything with the engines needed for crude FTL through the Ozone Layer made a really, really big bang.
We’d been warned about this from the program so that first flight had been unmanned just to see how big a bang it would be. Most of the people that looked at it directly needed experimental optical surgery to see again. People like me that saw it through a recording were blinking spots out of their eyes for hours to come. Still it was really neat to see a double-sided mushroom cloud.
https://www.reddit.com/r/HFY/comments/nfsakq/out_of_cruel_space_part_1/