No. If your XP was correctly setup you were immune to this worm. If you downloaded the patch even if you weren't correctly setup you were immune to the worm. The worm exploits a bug in a component of windows that SHOULD NEVER BE EXPOSED to an hostile environment. If you used XP's inbuilt tools to configure your internet you were immune. If you used an ISP's CD that was designed for any windows operating system to configure your internet you were vulnerable. This particular bug is NT (NT4, Win 2000, Win XP, Win 2003) specific. Most things like this apply to ME as well as XP (in fact more apply to ME than XP), XP has inbuilt protection and ME doesn't. If this bug affected ME as well every ME machine would fall victim rather than only mis-configured XP machines (and Win 2000).
If your XP machine was correctly configured, or if connected to a network your network was correctly configured, you are immune to this worm.
Unfortunately something like this shows the number of misconfigured computers on the web. I was experimenting with creating dialup connections by programming and I was vulnerable for a few minutes cause I created mis configured connections.
Start - Connect To - right click your ISP connection - Properties - Advanced - Enable Firewall and most things that don't require an act of stupidity from you will pass you by. Most worms try to trick you to giving permission to run (this one didn't) - this is what is known as an act of stupidity. If you are prone to acts like this I have a good second hand bridge for sale. It's called the Sydney Harbour Bridge. It's worth heaps mate. Two mill for you, do we have a deal?