Is competitive eating a sport? Here is what XENLIFE says:

"The definition provided by SportAccord is the most accepted internationally; the association is the de facto representative of international sport. SportAccord provides a criteria whereby a sport should:

Have an element of competition
Not rely on any equipment provided by a single supplier
Not rely on luck
Not be harmful to other living creatures."

I don't think it is. You could argue that it requires "physical exertion" but I don't think that lifting your arms to your mouth is "physical exertion."