Can music be transferred from a cassette tape to a CD?

Answer 1

yep..
Put simply, you will need to connect your cassette player to your PC soundcard, then play the cassette whilst recording on your PC. A step-by-step guide is available at:
http://www.cassette2cd.co.uk/diy
The recording software is the key, there are some free software downloads available at:
http://www.cassette2cd.co.uk/downloads.php
I have used ‘Magix Audio Cleaning Lab’ and ‘Audacity’ – Audacity is particularly popular since it is free!
If you record to WAV format, expect file sizes of around 10MB per minute, or 1MB per minute for MP3 (at 128kbps).
Once you have your digital versions of the recording on your PC, simply burn them on to a CD (Nero burning software or similar..). If you use Magix Audio Cleaning, the software will burn an audio CD for you without needing additional software (assuming you have a CD writing drive of course!)
You can also download a free PDF version of the step-by–step guide from the download page mentioned above, the guide is complete with diagrams and screen-shots.
Hope this answers your question

Answer 2

Yes it can. You need to get the taped music on your computer in digital format. There are several ways to do this, but all require a sound card that will accept external input. No problem, most do, just ask to make sure. Once that's done you need a program to record the music to digital form. Audio grabber is one free way to go. Once that's done, you need to burn the music to a CD. Again, you need a CD burner and software. Readily available for under $100, these days. AND you need the patience to do it. I used to spend hours mixing and recording. It can be a lot of fun.