One simple question (i think):
When i choose to use an LM7805 volt regulator and give ESP32 5v inn to VIN pin and wire an 1602 LCD on the same 5v before i ground it to the controller. Is it then possible for the LCD (just an axample. It can also be an DC motor) to use more current than the ESP32 can deliver?
Or does it have the same limitations because they are connected together?
Wil LCD (Or whatever) take current from the power supply connected before LM7805, or wil it still take power from the ESP32?
Just forget it. I'v got my answer on this on another forum 
Is it then possible for the LCD (just an axample. It can also be an DC motor) to use more current than the ESP32 can deliver?
Yes
Or does it have the same limitations because they are connected together?
They aren't connected together. You just said the LCD is powered by the LM7805 and the ESP32 3.3V regulator is powered by the LM7805 which means the ESP32 is powered by it's onboard 3.3V regulator
and thus they are not "connected together"
Wil LCD (Or whatever) take current from the power supply connected before LM7805, or wil it still take power from the ESP32?
You just said the LCD is powered by the LM7805 so the amount of 'power' (in Watts) it can source is whatever the LM7805 is capable of delivering , regardless of what is powering the LM7805.