You can use the PhotoSync app to move pictures back and forth between you iPad and computer on the same wireless network. It works better if you get the companion app for your computer, but will work with a web browse as well.
This will only move pictures into your Saved Pictures album. The only way to create and sync multiple albums in the Photos app is through iTunes.
There are alternate photo apps that will let you transfer and organizes photos on the ipad. GoodReader (a general purpose file app) is the only one I have experience with. It will do the job, but without looking pretty or offering slide shows.