Not really. No caveman would have hunted by himself, it required a collective effort of the tribe's fit men. The same is for domestic activities of their women. Cavemen would seek a higher social status to gain more. It looks like the best javelin thrower gets the largest portion and the prettier women would have interest in him.
That’s why I qualified my remarks as the ‘basest’ cave man existence. Having hunting partners was in essence, a luxury, and a cave man that had become detached or expelled from his clan would have had no choice but to attempt to satisfy his own needs.