Hi Cveja!
To answer your question quickly - Yes, the board is capable of capturing full resolution images from a Raspberry Pi camera and saving it somewhere.
To answer your question better - It would be cheaper and easier to use a Raspberry Pi Zero W ($10) to do this. It has everything you need to make what you want work and has TONS of code examples scattered around the internet.
If you are determined to use the Vidor 4000, though, you absolutely can. You will need to either add an SD card to the board via a breakout board (
like this) or you will need to write code to transfer data from the Vidor 4000 to your computer (over USB, Wifi, or Bluetooth).
Side note, but "IDE" stands for "Integrated Development Environment". The Arduino IDE, for example, is where you write, compile, and upload code. It doesn't have any image handling capabilities (at the moment anyways).