I got a text from a friend saying that my stutter made them stutter

I got a text from a friend saying that my stutter made them stutter I know that stutter is not contagious per se. So I am wondering if this case is even possible. I was hanging out with a friend yesterday and today in the morning I got a text saying that they find it hard to spend time with me because not only talking to me is hard but it also made them confuse words and stutter. I know that it's possible to catch some behaviors from people around you, but I always assumed it's a matter of time and it doesn't just work over one night. And also stutter is not a manner of speech, it has a biological basis, so it shouldn't be "learned" from someone else. Has anyone ever told you something like this, or do you perhaps know if it is possible? This puzzles me greatly.