Can hammer corals move?

Northstar24

The Tang Herder
I'm new to coral, and came home to find my two headed branching hammer about three inches lower in the tank than where it was when I left for my honeymoon. Is it able to move on its own?
 
Woke up this morning and it was moved a second time and laying on the sand bed. Is this something that a Coral Banded Shrimp would do? It was wedged into the rock pretty well, I don't think it was a snail or the current.

I placed it in a different spot and I'll continue to watch. Thanks!
 
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