"Hay" here means "or". And you usually understand if it is a question by the context (or by special constructions that help to make questions). But I think here it is used like that just to mess you up and pay attention that a syllable with a different tone is already a different word. Ca and cá even have different classifier (which are cái and con)
well uprising the voice by the end could make a difference between a declarative and an interrogative sentences. however "hay" here is by itself giving two alternatives and implicitly asking which one is the right option. anyhow the context is the best way to fully understand what the speaker meant.