No you can't. In the same way you can't watch a Mickey mouse movie and then draw your own Mickey mouse from what you recall from the movie.
Copying can be done manually by memory, it doesn't need to be a 1:1 match. Otherwise you could take a GPL licensed file, change the name of 1 variable, and make it proprietary code.
LLMs are just fancy lossy compression algorithms you can interact with. If I save a Netflix series in my hard drive, then re encode it, it is still protected by copyright, even if the bytes don't match.