Such a thing has never been observed. That's a lot of evidence - so much that any reasonable person doesn't worry about it beyond the last five minutes of a Philosophy 101 class on a Friday.
Theres any evidence that one object cant be many places in the same time.
No, but then again there is also no evidence that the sun will not rise in the west tomorrow. We have a really good theory of the solar system and the earth's rotation that predicts that the sun will rise in the east tomorrow, and we have several millennia of observations showing that every single morning so far, the sun has risen in the east. It doesn't get much better than that.
But there's still no proof that it won't rise in the west tomorrow.
