Experience Builder is based only on web technologies and cannot be ported to native mobile apps. App Studio is a different product with different technology.
To create native mobile applications you'll need to use App Studio, which provides great starting templates for native application development. The development is based on a language called QML.
Also, you should know that there's a whole different licensing requirement when it comes to mobile applications development -
I assume you already know that Experience Builder supports custom mobile layouts. For advanced features, without the complexity of mobile development, it might be better for you to consider developing widgets for the Experience Builder that gives you what you're after.