The center console part will, yes. There are one or two latch lever spring things that must be pulled out away from the doghouse and then it slides up and off. Look for a little black metal tab thing sticking out (I think the bottom of the console unit, but it might be the top).
The storage console units are interchangeable across quite a few years, so if you find one in a junkyard with holes and compartments that you like better than yours it's a very simple job to upgrade. I should see about doing that sometime; the '98 that I have uses about the least handy arrangement they managed to come up with.