These martial arts have been used in the anime and manga so they are able to be used.

Tekken/ Iron Fist Style
Used by Maito Gai and Rock Lee. Their main fighting style, to cause physical injury to their opponents with punches and kicks. Combined with the 8 Inner Gates, makes more than enough to easily harm and potentially kill an enemy.

Jyuuken/ Gentle Fist Style

Used only by the Hyuuga clan, it uses chakra and the clan's Kekkai Genkai, the Byakugan, they can attack an enemy from the inside and destroy a person's chakra points along the network of points to stop the flow of chakra through the body. This makes it increasingly difficult to move and fight back.

Suiken/ Drunken Fist Style

Used only by Rock Lee when he is intoxicated. The name derives from the moves, looking like the movements of a drunkard. The moves are difficult to predict from the liquid-like attacks.