I'm trying to make a slide where a picture comes on screen, and moves out when a button is clicked, replacing it with another picture. The catch is that when the pictures run out, I want it to go back to the first picture. Since the pictures have hyperlinks to different slides, is this possible?

Not quite sure what you are looking for? do you want the user to click on the picture and that picture will fly off the screen with another picture behind it?? are you running into the problem of the animation needing to happen before you are taken to the hyperlinked slide?