can you make a real 5x3x3 that isnt an extended 3x3 with a professor cube?

It is almost impossible to make a 5x3x3 with cubes of the same size with a "normal" turning machanisme. Only a extended 5x3x3 is possible with same cubelets.

So a 5x3x3 is only possible with a bandaged 5x5x5.

A 3x3x4 and a 4x4x3 is possible to make from a 4x4x4 with cublets of the same size.

When in a 5x3x3 is build with cubles of the same size, when turnning the cublets will extend out of the cube and center. Hence the mechanisme must be inside the cublets or some magnatic mechanisme. This is almost impossible to make.