You could, I'm not sure exactly why you would want to, unless you need some special feature of the digital interface.
You would have to implement an SPI interface, which is supported, but with no real examples published. Doable though.
An easier (and cheaper) alternative would be to connect an analog k type thermocouple amplifier. Like this one:
https://www.adafruit.com/product/1778Then you just need an analog input pin, and the interface is easy.
What is the temperature range you are reading? Do you need high temperatures (in the 1000 degrees range)?