Possible. However as a non native English speaker myself, I kind of take pride in making sure I’m understood, and grammatically cromulent.

And i’ve seen multiple people apologizing for their English, then having a better vocabulary and grammar than most native speakers.

Of course some people can barely make a sentence in a second or third language. It’s quite possible. I’m really bad at making coherent sentences in German, even after many years of studying it. But in my experience, non native speakers tend to be careful about this.