High Jump Kick is learned by 12 species by level and 8 by egg

Effect, in PokéAPI's words

“If the user misses, it takes half the damage it would have inflicted in recoil.”

Who learns it

19 species in all, 8 of 24 games shown

Scarlet and Violet: 16 species

Species	Method	Level
Meditite	Level up	28
Medicham	Level up	28
Hitmonlee	Level up, Egg	44
Scraggy	Level up	44
Scrafty	Level up	48
Hawlucha	Level up	48
Tsareena	Level up	58
Mienfoo	Level up	60
Mienshao	Level up	66
Hitmonchan	Egg
Tyrogue	Egg
Hitmontop	Egg
Riolu	Egg
Scorbunny	Egg
Raboot	Egg
Cinderace	Egg

Brilliant Diamond and Shining Pearl: 6 species

Species	Method	Level
Meditite	Level up	28
Medicham	Level up	28
Hitmonlee	Level up	44
Lopunny	Level up	56
Tyrogue	Egg
Riolu	Egg

Sword and Shield: 12 species

Species	Method	Level
Hitmonlee	Level up	44
Scraggy	Level up	44
Scrafty	Level up	48
Hawlucha	Level up	48
Lopunny	Level up	56
Tsareena	Level up	58
Mienfoo	Level up	60
Mienshao	Level up	66
Pheromosa	Level up	70
Tyrogue	Egg
Riolu	Egg
Scorbunny	Egg

Let's Go Pikachu and Let's Go Eevee: 1 species

Species	Method	Level
Hitmonlee	Level up	45

Ultra Sun and Ultra Moon: 14 species

Species	Method	Level
Blaziken	Level up	1
Meditite	Level up	28
Medicham	Level up	28
Hitmonlee	Level up	29
Scraggy	Level up	31
Scrafty	Level up	31
Hawlucha	Level up	44
Tsareena	Level up	49
Mienfoo	Level up	50
Mienshao	Level up	56
Lopunny	Level up	66
Pheromosa	Level up	67
Tyrogue	Egg
Riolu	Egg

Sun and Moon: 14 species

Species	Method	Level
Blaziken	Level up	1
Meditite	Level up	28
Medicham	Level up	28
Hitmonlee	Level up	29
Scraggy	Level up	31
Scrafty	Level up	31
Hawlucha	Level up	44
Tsareena	Level up	49
Mienfoo	Level up	50
Mienshao	Level up	56
Lopunny	Level up	66
Pheromosa	Level up	67
Tyrogue	Egg
Riolu	Egg

Omega Ruby and Alpha Sapphire: 12 species

Species	Method	Level
Blaziken	Level up	1
Meditite	Level up	28
Medicham	Level up	28
Hitmonlee	Level up	29
Scraggy	Level up	31
Scrafty	Level up	31
Hawlucha	Level up	44
Mienfoo	Level up	50
Mienshao	Level up	56
Lopunny	Level up	66
Tyrogue	Egg
Riolu	Egg

X and Y: 11 species

Species	Method	Level
Blaziken	Level up	1
Hitmonlee	Level up	29
Scraggy	Level up	31
Scrafty	Level up	31
Meditite	Level up	32
Medicham	Level up	32
Hawlucha	Level up	44
Mienfoo	Level up	50
Mienshao	Level up	56
Tyrogue	Egg
Riolu	Egg

Changed over time

3 changes since Generation I

1. Through Gen IIIPower 85100 from Diamond and Pearl, Generation IV
2. Through Gen IVPower 100130 from Black and White, Generation V
3. Through Gen IVPP 2010 from Black and White, Generation V