This was designed for 3D printing, so the design would need to be modified to be able to be laser cut. And, of course, the round edges aren't possible with a laser, but you could sand them afterwards.
If you want to modify the design, I'd recommend splitting the "outer" case into 3 parts (sides and bottom). Then make the "inner" case into a flat pattern. Then you can cut it from acrylic and heat and bend the acrylic after it's cut.
If you do that, post up a remix, I'd love to see it!