You can try the 30 pin to lightning adapter but I'm not sure if that'll work. So if you get it to experiment, make sure you can return it. Apple does sell a SD to lightning adapter for the newer devices. So that should be a sure bet. The main downside is that your 30 pin camera kit came with both USB and SD for 29 and now the USB adapter is 19 and the SD adapter 29, so more expensive.
You may want to look into third party adapters, but make sure you use a reputable manufacturer (ie not a cheap no-name off amazon) because iOS7 brought with it software that looks for a signed chip in the adapter. And a chip is 'signed' when a company gets apple's permission to make accessories. I would suggest sticking with companies like Belkin, Kensington and Targus. They seem to be of a better reputation when making things and would have a signed chip.
There are two adapters - camera/USB and SD card. http://www.apple.com/ipad/accessories/#camera-adapters
If your camera uses an SD card, just get the SD adapter. It's quicker and easier to use than the camera adapter.