I think the size is too small for such a feat.
Normally, the 1x1 is a stud which is supposed to be a tile by default.
But a noise pixelation should not be tiled, but should have random variants so that it's not noticeable.
A noise pixelation texture on a brick would have extremely noticeable repetitiveness/tiling.
Also simply replacing the side texture is not going to work given how the texturing works for the bricks.