No, Thai boxing or Muay Thai is not a point fighting sport. There are knock outs. Kicks, knees, and elbows are allowed.

There's also forms of karate that allow full contact.

I boxed twice as an amateur, and got stopped in my second fight after my eye closed up (southpaw got a thumb in my eye is my excuse).

But I look at Thai Boxing matches with flying knees, elbows, etc and that recent video where a fighter footswept someone and then kneed them in the head on the way down and I think "Fuck that."

While muay thai does have point scoring, it is more like boxing where you score points for landing a damaging technique and do not stop on a point being scored. Funnily enough punches often do not score unless they cause considerable movement of the opponent as they are seen as less damaging than a kick, knee or elbow.

One area that is different to a lot of other sports is that fights aren't stopped for bleeding often as it is very common for thai style elbows to open gashes on the face. A lot of experienced fighters will have scarring around the eyes from getting cut with elbows.

That said in the west fights are split into 3 classes (4 if you include novice fights) C which has no elbows or knees to the head, B which has no elbows to the head and A which uses All legal thai techniques

For avoiding unnecessary brain damage, Turing's run-around-the-house chess sounds like a better idea to me, though I'm not sure whether many people have played it or what the rules really are. (Is there also a clock?)