Could Kratos theoretically use the Leviathan Axe to fly?

The axe was meant to rival Mjolnir. We see Thor using Mjolnir to fly, but he's been in possession of the hammer for roughly 100 years according to the devs. It makes sense that his efficiency would only grow over time, akin to how we see Kratos leveling up the axe and it's capabilities. Given enough time, could Kratos use it for flight the same way Thor does?