No, Electabuzz can't evolve in Pokemon FireRed version. However, Electabuzz has a pre-evolution, Elekid, which can only be obtained through breeding.
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Electabuzz is version exclusive to firered.
The electrizer on Pokemon Diamond is used by Electabuzz to evolve into Electivire. To get the electrizer in Pokemon Diamond you must have inserted Pokemon Firered in the game boy slot.
You have to trade Electabuzz to someone while he/she is holding an Electrizer.
You get Elekid in Pokemon Emerald you need to either breed a traded Electabuzz or trade for one from Pokemon FireRed. Electabuzz appears exclusively in Pokemon FireRed and can be found in the wild at the Power Plant. The Electabuzz are however very rare with a 5 percent chance of appearing.
Electabuzz, Voltorb and Magnamite can be found in the Powerplant alone with Zapdos. They're powerful (especially Electabuzz) and Voltorb can be evolved into Electrode; an explosive Pokemon. Magnamite can evolve into Magnatone, and if transfered to other games, a Magnazone.