Yes, I thought of that too! Perhaps you also have to break down a piece of wood into small pieces first as well.
The broken-down pieces of wood could be called 'tinder'. I think other fuel sources could be found, too. In another reply, I noted that shark skin could be placed on a drying rack. Maybe the drying process produces a small amount of fish oil? Aside from that, the palm fronds are clearly flammable.