Oh, I don't doubt that anything is possible. Some older welders that I have been around have high frequency arc start boxes which put out all kinds of interference. If there is some super sensitive equipment around, it is possible that something happens to it because it's on the same panel for it's source power. I just say that I have been around this kind of stuff for a long time, and have never had the experience. Or known anyone that did. I have heard of such things, but like static electricity causing a gas fire when filling up a car, I suspect it's more of an urban legend than actually happens.
Of course, now that I say that, it will happen next week...