The aquarium isn't meant to be moved with water in it anyway. Just make sure that the critters have enough water so that they aren't fighting for O2
in transit. The rock would be Ok almost dry (for 30m, especially) without causing cycle, though some water can't hurt.
If you're moving corals bag each of them independantly and then put those bags into either a cooler or larger volume of water (the chemical warfare would be ugly). Re-use as much of the original water as you can.
You may see some cycle if you disturb/remove/change the sand bed or clean/replace any mechanical filtration.
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