Yes, yes and yes!
Plus I might add bleed them while still alive. The thick back meat is the bomb grilled. I put fillets in a gallon ziplock bag. Dump in a good amount of olive oil, dried or fresh rosemary and Some S&P also. Let them marinate for awhile. Grill and give them a spoonful of the olive oil once and awhile. Easier if you use a handled basket for flipping all at once. You will not be disappointed.