If you are assuming that both the goat and the chieftain's daughter want to eat the coconuts, and that the chieftain's daughter wants to run away with the goat (please keep fanfiction in RSP), then your solution doesn't work, because the chieftain's daughter eats the coconuts after step one.
Actually, there is no solution, because any pair of "items" leads to defeat, and you can only carry one of them at the same time. That's why you need to rule in that there is one pair of items that doesn't lead to a loss.
EDIT: To keep in line with the current F.DS meta, I had a 1:1 respect to post ratio for thirty minutes. It felt pretty great while it lasted, would definitely do it again.