In principle yes - light may make several "orbits" of a super-dense object before getting away - so it can emerge at pretty much any angle. However - the idea is pretty much defeated by the Scale of the Universe.
Lets say we looked for this from Cygnus X1, a handy 6000ly away.
Looks like we would, in principle, be able to see the Sun as it was 12000 years ago!
The what we are looking for is that light from where the Earth was 6000 years ago which manages to approach CX1 in just the right way that it gets sent back to where the Earth is now so our telescopes can detect it.
The proportion of the light from the Earth that could impinge on CX1 is basically in the ratio of the radius of CX1 to 6000ly - all squared ... i.e. a vanishingly small amount. Even if we got all that light back - and we wouldn't -
the proportion we can detect would depend on the diameter of the telescope.
The light would have been altered on it's path so it would be tricky to recognize it, and we'd also have to somehow detect it against the light coming from CX1 itself and other nearby stars.
The gripping hand is that CX1 has a bright companion star, a high energy accretion disk, jets and so on that the light would have to get through (twice) in order to get slingshot back. i.e. ain't going to happen.