Depends how you define "you"
But, essentially,
yes!
I had this conversation with Clifford Pereira, of Genelec, at the recent meet, the proposition being that, by putting a stereo microphone in front of a pair of stereo speakers, you cannot recreate the stereo recording you are playing, because it is an illusion, but you can record, and if experience 'a' sounds different to experience 'b' --- so will the recordings sound different (or at least,
be different as seen in wave/spectrogaphic analysis). His response was very short: "Yes, of course".
Shall we propose infinitely sensitive mics and infinite quality equipment for the theoretical proof of this? That equipment would hear what you hear (and much, much more), and record it. But I don't think that would be necessary, because infinite-quality equipment was not used to make the recording in the first place.
An inexperienced listener probably can, if they have the interest and the concentration, discern differences. This point is well dealt with earlier, where the example given is that the inexperienced listener may say, something is missing here, whereas the experienced listener may point to a dip in the frequency response at a given point. But, specifically, my quibble was with your requirement that the person be experienced at listening for
cable differences. Perhaps, by this, you just meant that they should be experienced at hearing [and describing??] very subtle differences?
There might be levels at which that is true, but in general, A trained ear is necessary to
define differences between different kinds of gear. And I do not claim to have one (or two), but I'd say I'm fairly sensitive to differences.
Bottom line with the
unmeasurable difference thing (the holy grail of the audiophile?) is that non-one ever tries. For all practical purposes, it would be crazy to expect, because who is going to set up a recording studio to test their hifi? Err... no-one. But, if
blind-testing had become a part of the culture, rather than something seldom done, even attitudes might be different today.