Keno Fischer, who recently created the Cxx package [1] used to be a Qt dev, so I wouldn't be terribly surprised if we see such bindings materialize in the future, using Cxx, of course. That said, I don't want to speak for him, so if someone wants this, they should maybe go ahead and start working on it!
[1] https://github.com/Keno/Cxx.jl