More than likely, yes... you will go through a mini-cycle. However, it will not take nearly as long to cycle through as it did when you first set up the tank. My guess would be somewhere around the 1 to 3 week range, depending on how carefully you removed the sand.
When I move tanks and reuse a sandbed, I use a new plastic dustpan and carefully remove sections at a time and place it in the new tank. That way, a great majority of the sandbed stays intact and has less die-off than if you just scoop cups of the sand out and place it in a new tank.
Tom