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While stacking has uses for decreasing noise it will not increase resolution.
You definitely can as long as the PSF is bigger than one pixel. You can't decrease noise and resolution at the same time (well you can, but you're trading one off against the other). You obviously can't do better than the diffraction limit
While stacking has uses for decreasing noise it will not increase resolution.
That horse head nebula looks like a really tight crop from a wider frame shot.