Yes, website in OP's link, uses sketchfab for their configurator. You would need to get sketchfab premium plan for that. And yes, it is possible to bake Corona lighting and shadows, but not reflections and use it in sketchfab viewer. Keep in mind that Corona's support for texture baking is still limited and certain things cannot be baked yet.
By the way, sketchfab introduced screen space reflections support quite recently and it works pretty good - worth to try.