There are a lot of stories of stolen bitcoins from hacked websites or fooled people.

I was wondering, since all transactions are in blockchain, is it technically possible to make blacklist of wallets where stolen funds where transferred (by claims of victims) to track transfers of those funds and report when the owner can be identified (for example when some goods where bought and delivery address is known)?

Or perhaps just block those blacklisted wallets and don't support them on the network (bitcoin) level?