No, you cannot. You are able to in the original Animal Crossing, but not in Animal Crossing: Wild World. You can get coconuts if one of the neighbors sends a letter explaining they found a strange fruit or you may be lucky and find one on the beach. However, you cannot go to coconut island in Wild World.
Chat with our AI personalities
you find them on the beach sometimes
You first have to have a coconut wash up on your shoreline. Then you bury the coconut on the line were the sand meets the grass.
Unlike the original Animal Crossing, you cannot go to an island in Animal Crossing Wild World. You can, however, go to other players' towns wirelessly or over Nintendo WFC.
Animal Crossing Cityfolk is the latest out of the two. you do realise you can check wikipedia for these?
I have looked this up on-line many times but there is no island cheat for wild world. Sorry.