It can and we have achieved Arbitrary Code Execution in NES Tetris.
The setup is horrifyingly complicated and precise though, involving getting some near-impossible scores and entering specific names in the highscore list, then reaching the crash on the same frame that the internal values for random number generation happen to represent a jump instruction to said highscore list (and we get lucky and various registers also happen to contain values we need).
Then from there, there is some bootstrapping before total control is achieved.
another 2D visualisation of the rubiks cube that is popularly used for computer simulation speedsolving is qcube[1]
despite not being able to see all sides of the cube, it's surprisingly easy to solve on, as you essentially see the same stickers that you would in real life.
