Just the background? No, I don't, unfortunately. I just got this desktop from the main Toy Story website. I don't know if they have a standard background of that without any characters in it. Sorry I couldn't be of much help, and my apologies for getting back to you so late!
I thought for a while when I saw these backgrounds at the official site. Initially, I didn't want any of them because I'd rather have a generic "all characters" background that covers the entire Toy Story series. I still want that, but after seeing your (sized-down) desktop, you've convinced me to go back there and put all those 1024x768 backgrounds in a folder in My Pictures.
Regardless of whether it's Disney or Pixar operating that site, I hope they put up some new stuff soon. I am looking forward to the TS1+2 in 3D thing on 10/2/09.