can elf on the shelf move

Yes, the elf on the shelf can move. In fact, it's a part of its magic that allows it to move around and observe children's behavior while they're sleeping. The elf also has the ability to report back to Santa Claus about who's been naughty or nice. It's important to remember that the elf is a special creature and should be treated with respect and kindness, just like any other magical being.