Sort of. The Charge Controller is separate from Solar vs Generator/Turbine. Each will have it's own charge controller. They are separate components. I also don't get why there is a "Charge Controller" just before the Batteries? It is usually part of the Charge Controller. The "12V Converter" is also part of the Inverter, unless it's a system that is really cobbled together of entirely separate components. Personally, I would not follow that diagram to put together a system.
For solar, a MPPT Charge Controller is recommended (vs PWM) and for a Generator/Turbine a good quality Low Frequency Inverter usually has a Charger / Controller function that a generator can be wired into. But it's not a given, so you need to read the Inverter specs and look for one that has the Inverter/Charger combo.
You can research Off Grid "Kits" with the functions that you want (excluding AiO's) and it will help guide you and inform you of the components required. After that, it depends on your budget to cobble the desired components together.