Maybe on some models. I've got a Sony Net-MD unit - off the top of my head, I think it's a NZ-707; it's a couple of years old (and much used) by now. The USB link gives me some control over playback and makes it much easier to title individual tracks but doesn't facilitate a highspeed rip to the computer hard drive (more's the pity)
I was using a program called WinNMD which allowed me to specify particular tracks to record (albeit still via an analogue connection) but my original machine had a fatal crash and, on getting a new laptop, I discovered (a) that WinNMD was no longer free (and the site didn't inspire me with confidence to invest in it) and (b) the laptop was significantly faster and thus much more suitable for recording and manipulating big chunks of audio directly to disk.
Therefore, I'll normally record a big chunk of music to the laptop and then use Audacity to break it into individual tracks.
Wulf