Not even for a very long time. It simply won't happen, ever. Unless we miraculously discover ways to travel at the speed of light or hibernate for a few centuries. Even then, we'd only be reaching the nearest solar system, which probably isn't very interesting anyway.
Edit: heck, even at the speed of light this stuff is very unpractical. Sure, Proxima is doable, but finding something worth finding is a whole different story. Big chance we'd still have to travel hundreds, or thousands, if not millions of years at the speed of light to find something to live on, for example.
Nice as an art piece, but horrible as a background.