Yes you can upgrade that chassis to the F104W (in the lower pic) or to the F104Pro (in the first pic). Tamiya posts most of their manuals online so you should be able to fine one for each chassis, look towards the bottom of the page in the blue bar.
You'll just need to put together a fairly large parts order to do the conversion. I say that because the W-GP car includes a number of hop-up options (carbon upper and lower deck, aluminum diff, aluminum clamp hub, trf damper, aluminum roll damper, aluminum front uprights, aluminum motor mount, and adjustable turnbuckles...and possibly bearings if your's doesn't have any).
I just finished building one of these so it's still pretty familiar to me. I also added a carbon rear shaft, aluminum pivot post, and ti-screws.
Good luck with it.
Tamiya Road Wizard, F101’s, F102’s, F103’s, F103RS’s, F103LM, F103RX’s, F103RM’s, F201's, TRF-F103R, F104 PRO's, F104 F-60 & MP4-24, F104X1's F104 V2's, a TRF101 and a TRF101w...The King of Queens