Jay,
It should. The factory Pioneer "Audiophile" system is rated at 290 watts max. Personally I like the OE sub, though sometimes the bass is a little too sloppy for my taste. One of these days I might upgrade the sub, but for now I am happy with it.
A cheap "upgrade" for the Trac is replacing the rear speakers with the front speakers and replacing the front speakers with a nice set of components. That will bring a little more highs in the rear and good speakers in the front will clean it up a little more.
Personally, I am glad I got the Audiophile system. I wish i would have known about the "pioneer Edition" when i ordered my 2002 Trac. Then again, I put the rear seat down on a regular basis, so the sub under the seat might not have been a good idea for me.
Tom