(128x64) Dot Matrix GRAPHIC LCD (Need advice)

... and probably ...(I have to take a look at the 128x64 datasheet)... too (?)..without modifications.

Highly unlikely, the 128x84 KS0108 displays cannot normally be directly driven as you have to connect up the negative voltage supply to the contrast pot among other things. So you will need a breadboard or a shield specifically designed for it.

Mowcius