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I think you ask if it is possible to make a 'carbon-copy' of any music, in a DAW? Imo No.
There are so many additional sounds from real instruments, that it would be impossible to recreate a Wave-spectrum of a specific piece of music.
But..
Machine-learning and neural network does things now, that we deemed 'impossible' only a few years ago, so if we theoretically imagine that we 'teach' a neural network how every synth in existence sounds, and the computer then could calculate the sounds that could be mixed together, then it could properly get pretty close already. However the afford to do that would not be worth the result.. So back to 'No' :)