No, you can't fully tie an address to an individual. Especially if the money is spent into the economy beyond.
You could invalidate addresses containing the fradulent funds, and generate Bitcoins from nothing into a new address, so for example block 5000_from_now puts 20k BTC into a particular address, and the private key for this address (the wallet) is given to allinvain. Mining creates BTC from nothing so you could use a similar mechanism.
How would anyone prove any particular address contains "fraudulent funds"?
And what are "fraudulent funds" ? How are they defined?
If I lost my USB stick with a wallet on it and someone found it. Is that fraudulent? Or my stupidity for losing my wallet.
If I lost my real physical wallet, I would never expect to get the fiat money back, why should BTC be different?