We have a tsunami warning in NZ, so yes.

Sure. It takes about 12-15hrs for a Chilean tsunami to reach NZ. There have been a few significant ones in the past eg in 1868, 1877, and 1960.

Most of the time though they don't usually have much effect after travelling that far. Might get some harbour surges and currents etc.

It would almost certainly die in severity before it reaches there. The 2005 Boxing Day earthquake/tsunami happened in Indonesia, and it did reach some parts of Africa but it wasn't a major deal. This tsunami looks weaker in comparison.