It is possible to stay in everything from posh hotel to tent. You can stay in such types of accommodation anywhere in the world. Samoa offers the chance to stay in a fale. It is the traditional way of living after all. It is an open sided single room structure with a thatched roof. The advantage is that you can feel cool air at night and it is also a shady place to rest when you feel hot. You have coconut weaved walls that can be rolled down if it is wet or if you would like some privacy. I just got dressed in the bathroom and kept the fales I stayed in open.
I especially liked these fales:
Namua Island Fales
The tourist office in Apia can book any fale for you and the chance is it will be on a special sandy beach.