Do the hawaiian honeycreepers provide evidence to support Darwin's theory of evolution by natural selection?

Yes.

Explanation:

This kind of bird, that is found at the islands of Hawaii have different kinds of beak. The adaptive radiation of those birds resulted on specialized forms of beaks and also, according to the Darwin natural selection theory, an ancestor of those birds probably had one kind of beak, but the different niches in the archipelago of Hawaii has selected different forms of beak leading to the actual species.