I had a first-gen TP9 years ago, when they only had the one model to choose from, and even then, there was speculation that other mags would work. Unfortunately, Canik was hardly a blip on anyone's radar then, so there wasn't a big target market (in the US, anyway) generating much demand from manufacturers or even drumming up much interest online. However, the factory mags were - and presumably still are - made by Mec-Gar, and since they make either factory or aftermarket mags for practically every semi-auto handgun on the planet these days, they might be able to answer that question.
I wouldn't be surprised if it is sort of like the Beretta 92-series mags vs. Taurus PT92 mags, which will fit but require modification to function properly, or such was my understanding of it when I had a PT92. Mags were readily available, so I wasn't forced to attempt modding Beretta mags.