Not exactly. It is a difficult question because in addition to it being somewhat subjective, digital introduces additional possibilities. I would offer the following opinions/generalizations (which can be problematic):
1) In some ways it is easier to alter plane of focus and/or image shape with LF cameras
2) At least in the context of film, there are image structure and/or tone reproduction differences (subject to magnification factor in the final print). For example you cannot make a "grainless" 16x20 print from a 35mm negative, etc. However it is strictly a matter of personal preference/opinion when it comes to whether or not this means a given picture can or can't be made with a small format camera.
Virtually any of the differences one might cite, including the two above, are arguable and come down to subjective variables including aesthetic preferences, one's own conceptualization/visualization of any given shot etc.
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