The Amiga had 8-bit sound so not nearly good enough for high fidelity audio.
No one had hard drives at the time so you were lucky if you had a computer with a floppy drive. It would take around 1000 double-density floppy disks to hold the data on one CD. When hard drives finally became available they only had a capacity around 5 megabytes and cost over $1000 so even then you would have needed over a hundred of them and the price of a house to store a CD
It wasn't until the mid 90's or so when mp3 allowed the data on CDs to be compressed by a factor of 10 or more and the data storage of computers had grown enough that you could store a reasonable amount of high-fidelity digital audio on a home computer.
It also wasn't until the mid 90's that CD burners and blank media were available and cheap enough that you could copy a CD onto another CD for less than the price of the original.