Sadly No... I wish it could! The only Fire type move Lucario can learn is Sunny day.
Chat with our AI personalities
Growlithe can learn the move Flamethrower at Level 34. This doesn't change if you give it a Fire Stone and make it an Arcanine either. ~Lucario
Blaziken cannot learn Flamethrower by leveling up but it can learn Flamethrower via the TM 35. Blaziken's pre-evolved form Torchic can learn Flamethrower at level 43.
it can't learn flamethrower by itself but you can give it the TM flamethrower, you get that from the game corner
Ponyta can only learn flamethrower through TM's
rapidash learns flamethrower if you get the TM flamethrower and teach it