Given cooperation by a miner, you can probably do it in principle (though I have not checked), because of transaction fees. The recipe is this: Create a transa

Given cooperation by a miner, you can probably do it in principle (though I have not checked), because of transaction fees. The recipe is this: Create a transaction with a transaction fee corresponding to the amount of BTC you want to destroy, and reveal this transaction only to the cooperating miner. The miner agrees to include the transaction without claiming the included fee. Admittedly it's a bit pointless given that a better approach exists (OP_RETURN, as mentioned in the article).