Elon Musk was a major technology industrialist on Earth in the early 21st century.
In 2256, Captain Gabriel Lorca tried to motivate Paul Stamets to continue his work on the spore drive by asking if Stamets wanted to be compared to Orville and Wilbur Wright, Elon Musk, and Zefram Cochrane, or if he wanted to go down in history as a failed scientist. (DIS: "The Butcher's Knife Cares Not for the Lamb's Cry")
As the Gabriel Lorca featured in this scene was an impostor hailing from an alternate quantum reality, it is unclear how accurately he was describing the local universe's Elon Musk.