It's absolutely possible, and it may surprise you to learn that blurring is not (by itself) a lossy operation and you can, in theory, unblur an image if you kno

It's absolutely possible, and it may surprise you to learn that blurring is not (by itself) a lossy operation and you can, in theory, unblur an image if you know the blurring function. The practical difficulty in doing so is that the blurred image has a lot of information in the low bits, which tend to get distorted through other processes (quantization, sensor noise, lossy compression). I too am surprised that no attempt appears to be made to remove the diffraction spikes from JWST's images, since the function should be known with great precision.