Does Kiribati have internet?

Over 90 percent of Samoans have a mobile phone but this falls to just 14 percent in Kiribati. Internet access is among the lowest in the world: less than 0.5. percent of the population has high-speed Internet.

If they have no internet, maybe they use txt and call for communication? Since most of them have mobile phones?

I agree. Since it was the first mode of communication without the internet aside from pagers before.