There is competitive rock climbing. Rock climbing isn't all about physical strength, you have to pick your route. Eventually some military robot company will want to prove that its combat bot can out perform humans on any terrain. And we'll see best humans vs matches that can match and a few years later beat their performance.

Of course the professional competitors don't have to worry about competing against a human that's cheating using a robot; the exoskeleton would be obvious.

But it isn't unimaginable that, in some distant future, nanobots could be inject to infiltrate our muscles and tendons, and then assemble in to fibers that would assimilate with them and look normal from the outside. Competitions are won by incredibly small percentages.