They actually do. It's called Universal's Photo Connect, although it is nowhere near as good as Disney's PhotoPass. You can order basically anything BUT CDs. You can get downloads, print outs, calendars, posters, bags, and more.
There are two different ways to use the service. Please note, that this works differently then Disney PhotoPass.
As you travel around the park, you will find tons of photo opportunities with Universal photographers. When a photographer takes your picture, they will hand you a slip of paper with a number. Each time you take a picture, the photographer will do this. This is the FREE way to use the service. Also, you cannot collect ride photos with this option.
Now when you are at the end of a ride with a photo, purchase that photo. This qualifies you for purchasing the Photo Connect Pass. Then purchase the Photo Connect pass. Now, whenever you go up to any ride photo kiosk you can purchase it for $5 (less then the normal $25 for photos) or have linked to your Photo Connect, which is free. You can also show you PC Card to any photographer who takes your picture and they will put the photo on it. I highly recommend this option! This will save you time and money, plus no lugging tons of photos around. Hope this helps!