I'll split this question into two parts.
Pre-Columbus: There's some evidence that Polynesians traveled back and forth between Oceania and South America before the arrival of Europeans. The sweet potato was introduced to Polynesia from South America around 700 CE, though it's not clear if it was imported, or if it somehow floated across the ocean. Other clues comes from linguistics and genetics.
Is there any evidence that the Inca Empire knew about the Polynesians? Wikipedia implies that the hypothetical contact happened hundreds of years before Inca times. There likely weren't any Polynesian explorers in South America during the colonial period. Still, the Incas had a strong oral tradition, so they might have known.
Post-Columbus: The Inca Empire survived until 1572, though it was only a rump state after the 1530s. This means that the Inca Empire was still around when the Europeans reached Polynesia (see this and this). Did any information about the Incas bleed into Polynesia, or vice versa? Obviously, modern Polynesians and Andeans are aware of each other, so I'll set the question's end date at 1572.