Certainly. I'm a non-native speaker myself and although the end result looks somewhat convincing, it takes me an inordinate amount of time to write, look up words and proofread the text. I'd guess a native would come up with a comprehensible text at the first try, and it'd take a few tweaks until it looks immaculate. The reason non-natives seem to write better is that we simply spend more time working on it, and fix a lot of mistakes.

Just now, writing this, I had to look up if the saying went "inordinate amount" or "unordinate amount". The difference between "pristine" and "immaculate". It really adds up when writing longer texts.