Are there athletes in team sports who consistently rise to the occasion, or do they just follow statistical profiles?

When the game is on the line, are there some athletes who year in and year out dig deep inside themselves and manage to get the crucial hit or get the needed yardage? Is there such a thing as a clutch hitter or the equivalent in other sports? It sure makes games more interesting to believe this is so. The alternative would be to say that an individual’s athletic performance more or less follows some normal distribution independent of circumstances. One complicating factor would be that for every offensive player on one side who wants to make a crucial scoring play, there are players on the defense who want to make a key play to prevent it.