Currently you can make a relocatable “bundle” / “app” with PackageCompiler.jl, but the bundle itself includes a Julia runtime.
Making a nice small static binary is technically possible using an approach similar to what GPUCompiler.jl does, but the CPU equivalent of that isn’t quite ready for primetime.
I think something to that effect was implicit in "the bundle itself includes a Julia runtime," but I vouched for this comment anyway since it's an important limitation and the parent comment evidently wasn't explicit enough to prevent confusion.