Assuming that the blurring is intrinsic to the image (i.e. it's displayed on a computer screen and the blurring was done by software, or, say, that it's a photograph of an object through an imperfectly-focused lens), then no, no amount of optical correction will bring the original image back into focus. The information about that original image is lost, and simply cannot be recovered.
When we see blurry images because of imperfect vision, it means that point sources in the object are not focused into point images in our retina, producing instead a blur with multiple points receiving light, but the information is still present, as each of those points will be hit by light coming from a different direction. That's what allows optical correction to work.
In your scheme, this is no longer the case, so optical correction won't work. The image is already at its optimal sharpness, and adding optical correction either way will just make the image blurrier (or, more realistically, it will force the eye's lens to do more effort to keep it at its minimal, nonzero blurriness).