Stormbreaker isn't as tough to wield as its predecessor, Mjolnir, so these MCU characters would be able to pull off the feat.
Thor is one of the strongest characters in the Marvel Cinematic Universe. He’s the son of Odin, after all, and the God of Thunder, which allows him to create electrical energy out of thin air.
Despite all his gifts, Thor chooses to use a weapon for most of his life, Mjolnir. The hammer allows the Asgardian to focus his power, and it doesn’t hurt that it packs a serious punch.
Thor isn’t the only character in the MCU to have experience with Mjolnir, though, as his sister, Hela, used it before him. When she shows up on Midgard in Thor: Ragnarok, she destroys the weapon, leaving her brother between a rock and a hard place.
He learns to control his powers without the hammer to defeat Hela, but his next fight isn’t so simple.
Author's summary: Stormbreaker can be wielded by several MCU characters.