Yes, I have done it a few times with 100% success every time. I usually buy used tanks that are already set up and put them all around my house... but I've recently sold a lot of them.
Anyway, I buy a tank every now and then that has cc (crushed coral) in it and I hate it every time. No one ever takes care of cc, and rightfully so, because it is a terrible means of substrate.
What I've done in the past:
Put all the livestock/corals in a bin filled with tank water and put in a heater and powerhead to keep them comfortable. Put all live rock in bins filled with tank water (they won't die off if they're without heat or water movement, just make sure it's not 60 degrees in your house - and be sure they're fully submerged). Remove all the remaining tank water but keep it. Get rid of all the cc - just throw it out. Put the live rock back and add the live sand around the rock. Add tank water. Wait until it heats up and replace the livestock/corals.
Again, I've done this exact thing twice and I've not had any spike... no ammonia, nothing.