Theoretical question about how CD's work


Theoretically, can the contents of a CD be printed out onto sheets of paper in 1’s & 0’s, re-entered digit by digit (say, by a generous helper monkey with an infinite lifespan) into some sort of program, and the same sound will be replicated? Just trying to understand how CD’s work (though I’ve been trying for 25 years and it still seems like magic to me).
sealrock
Post removed 
The OP is clearly trying to make the point that if it’s all 1s and 0s on the CD how can anything make a difference - the data on the CD cannot be changed. Hel-loo! It’s not exactly rocket science. It’s the same argument regarding digital cables. They’re both Strawman Arguments. Can we please try to be a little more chill?
Since we've already gone pretty far down the rabbit hole I've got a related question. @almarg mentions EAC and FLAC. When I rip a CD to FLAC using db Poweramp what does the data on the FLAC file look like. Since it can be compared to a perfectly accurate copy (whatever that means) it shouldn't need the error correction wizardry. Is it just a stream of 0 and 1's or is it more like internet packets?
8th note
The Flac file is exactly like any other file, a bunch of 0s and 1s. It is a "non lossy" compressed format, meaning that its size is smaller than the original but no information is lost. BTW an internet packet again is a stream of 0s and 1s !!! 
I for one do not believe any error correction is needed. You copy a file you get a perfect copy unless someone can show me why a copy of a Data file from a CD should be different from a copy of an audio file.
Differences may and will come up when you "render" that file. I.e. when you get back to the analog world via a DAC; that might be slightly different (the rendering I mean) from one DAC to another resulting in a slightly difrernt analog signal. Same digital input, different analog output.
marklings
I for one do not believe any error correction is needed. You copy a file you get a perfect copy unless someone can show me why a copy of a Data file from a CD should be different from a copy of an audio file ...
You need error correction because there are often errors when playing a CD in real time, which is quite different than simply making copies of a data file.