Possible, yes. Likely, no.
You'd need to figure out what OS is running on the TV, get Kodi compiled for that OS, and then somehow load it on your TV. Someone in the Kodi forums asked about Kodi on WebOS (so they could run it on their TV), and the devs said a port to WebOS would be very, very challenging. And that's an almost mainstream alternative OS. Many TVs run some really proprietary, off the wall, OSs.