Only if there were a gigantic mirror, millions or billions of light-years away.
We are, of course, looking away from the earth and from the solar system when we look out into deep space, so naturally we would not see the earth somewhere out there in deep space.
If, somehow, light from our own galaxy could be bent by 180 degrees at some far away place, I suppose it is conceivable, but even with gravitational lensing, light rarely bends that sharply except near the event horizon of a black hole. Or if there is a mirror, of course.