Is there a solution for fully automatic generation of bindings for C++ code/headers?

[womaas]

Is there a solution for fully automatic generation of bindings for C++ code/headers?

[sbc100]

Not that I know of. I think your choices are currently WebIDL binder and embind, but neither are fully automatic.
All the different methods are documented at https://emscripten.org/docs/porting/connecting_cpp_and_javascript/index.html