Either an Iron Fist or one of the other Immortal Weapons from one of the other cities, but potentially yeah. Although given that two Iron Fists at the same time canonically causes massive problems and another person USING the Chi of Shou-Lao if the other is caught unaware of it can cause massive trauma and pain and Danny had to learn to deal with it and brace for it otherwise it might not be a great idea.

He can be one of the greatest martial artists on Earth or in the Universe without ever having had the weird fortune to stumble into K'un-Lun on the one day every ten years that it's visit-able. Shang-Chi in the mainstream Marvel Comics is equal to Danny in terms of martial arts skill and has nothing to do with the Immortal Weapons, for instance.