So is the full frame look. Or the 4x5 look. Or the 8x10 look.
Hell, all I need is a cellphone and instagram!
I personnally see a look in some MF images that is hard to emulate perfectly without stitching/using MF lenses, but the available math shows it can only result from technological differences in lens construction. The math could be an over-simplification of reality though. The reality is that simple physical models than can be solved by humans on a sheet of paper are often unable to simulate realistically the behavior of complex systems such as lenses.
But anyway, the first condition to get similar looks is to use a device that can generate a similar amount of DoF, which clearly excludes very small sensors such as mobile phones. FF DSLRs are good candidates since the available lenses have a much wider aperture.
Now, you can also be speaking about the look of your images in terms of colors, tones,... that is mostly impacted by the color filtering and raw converter, which is yet a different topic.
In the end, photographers end up using what makes sense for them in terms of results taking into account cost. My opinion remains that it is highly unfortunate that the MF platforms, except Pentax, were turned into a luxury segment preventing access to many photographers who would otherwise be able to benefit from these different creative options. The good news is that second hand prices have gone down tremendously and that the look is becoming more widely available for those willing to deal with the limitations of those devices.
Cheers,
Bernard