All those corals will survive out of water for at least a few hours provided they don't dry out. I see no problem in keeping them out of water for the amount of time it will take to catch one fish. I'd be more careful with the rock if it's heavily populated with sponges. Sponges can be easily damaged with nothing more than being lifted out of the water. If you have enough sponges die off you could end up with a tank crash.
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