It looks like just a little motion blur...what you can do with a Canon (although it's probably buried in a menu somewhere), is to activate the mirror lockup and then use a self-timer mode to activate the shutter. That way you have the best chance to not be pushing the camera when the shutter opens - assuming you're not using a remote shutter release, which would be the best.
That setting with the two combined will be like this: push the button, mirror locks up...waits 2 or 10 secs, then the shutter opens for the pic.