If I post something at a different site, you can tell it is I doing it by using stylometry analysis. Why is it not possible to do the same with ChatGPT, to test

If I post something at a different site, you can tell it is I doing it by using stylometry analysis. Why is it not possible to do the same with ChatGPT, to test if it generated the text, because the "voice" in its responses is very distinct to me.