Different tectonic boundary and far too far from eachother for the movement of one to have affected the other. They both lie on tectonic plate boundaries, a fault line if you like, and have both had recent shifts. It’s coincidence that there have been two of bigger magnitude - the Turkey one of course being catastrophic - but these areas have earthquakes all the time, often of smaller size and deeper underground, often unfelt at the surface, only detection equipment picks them up. Thankfully the Wellington quake has caused little to no damage and no casualties have been reported.
https://www.mercurynews.com/2017/08/08/cal-bears-mark-their-territory-with-unique-field-feature/amp/ stadium right on the fault line
I'm on holiday in NZ at the moment and experienced first hand the earthquake in Wellington a few days ago, we were in a restaurant at the time. We're now in Rotorua, an area with lots of volcanic activity and visited Te Puia, the site of a Maori village and hot springs, geysers etc yesterday. The guide explained to us that they monitor changes in the geysers in particular and told us about a day a few years ago when they were much more active - so much so that visitors weren't allowed to access one part of the park. She went on to say that the next day was the White Island eruption. White Island is hundreds of miles away so it seems entirely possible the earthquakes in Turkey and Wellington were connected.
