It sounds like you are just trying to turn the LED off and on locally. You are right the Exosite example code expects the device to be connected to the internet, and that its state is modeled and maintained in a dataport. This forum is usually used to talk about how to connect things to Exosite, and how to use our platform.
I think your question is about how to use TIs hardware. Generally your best bet on finding questions on manufacturer's hardware, will be through their support channels. Ti in this case takes questions on their e2e forums. I did a quick search on their forums and it looks like you can send a value to the GPIO pin the LED is installed on. It also sounds like they have an example application called 'blinky' that shows how to do this.
Here is a link to the TI forum post I found this information on, try starting there: https://e2e.ti.com/support/wireless_connectivity/simplelink_wifi_cc31xx_cc32xx/f/968/p/366270/1290813#1290813.
Let me know if you have more questions on how to use Exosite -- I am happy to help,