No. In order for your electabuzz to evolve, it needs to hold an item called electrizer whilst trading.
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Sorry no, the only way to evolve Electabuzz is by link trading it.
The Pokemon that evolve using a thunderstone are: Pikachu into Raichu Eevee to get a Jolteon
Electabuzz will evolve when you have Electabuzz hold the Electirizer and then trade it.
Eelektrik - Eelektross
Tynamo will evolve into Elektrik will evolve into Elektross with a thunderstone in Pokemon White.