Yes, but only by TM.
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Flygon can learn many useful moves like Earthquake, Dragon Claw, Outrage, Draco Meteor, Fire Punch, Flamethrower, Fire Blast, Rock Slide, Stone Edge, and U-Turn.
Flygon doesn't naturally learn either of those moves.
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