Since it's the most difficult feat the game recognizes, I took my permadeath character to the end of the Atlas Rises storyline today. Unlike my survival Gek I condemned this Vykeen to the incredibly hostile Calypso galaxy, where every day will be a fight for survival.
Sure enough I awoke on a world blasted by radiation storms and made it to my ship only by digging tunnels. Made camp on the 1st non-murderworld I came to, an eerie glitch I named Cliffhanger Ending, and called the story complete.