I found this in the feature section:

"If you prefer to program in 'real' C++, C#, Delphi or other languages, you can implement Gamestudio's engine into your own programs using the engine SDK. You can even continue to use lite-C as a scripting language; lite-C functions and variables can be called from your program and vice versa."

Does this mean that I could port my lite-c project to Unity in order to publish it to other platforms like PS4?

No dice.

Think about it, the API of Unity is widely different than the one of Gamestudio. And your quote is about using a language like C++ to interface with Gamestudio, not Lite-C interfacing with another language. And even if you could use Lite-C to interface with Unity (why would you, Lite-C is a bastard of a language), you would have to make a bridge for Unity to be usable in Lite-C, which means making their API available to it, not Gamestudios.

Thanks for the info, I somehow guessed something like that...