Actually yes . I didn't necessarily connect the two until I read your post.
My 2 year old started stuttering quite dramatically around the time DS2 arrived.
It lasted only a few weeks to a month or so. Bubs is 3 months now and the stutter is gone, back to normal 2 year old chatter, his language is really good. He did have a bit of a vocab explosion at the same time so not sure if it was that or the baby.