can I download the torrent of the core and somehow "install" it to the destination of the wallet so to be synchronized immediately?
Or even better, not using the Bitcoin Core Wallet have the torrent core directly to Armory Wallet???
It depends on how much security are you willing to trade off. It is definitely fine to run the bootstrap.dat for Bitcoin Core to synchronize the client using it. The client will verify each block independently to ensure that it is valid. It will hence, take much more time for it to synchronize, also with it not being synchronized with the latest block.
If you are referring to the whole data directory, you are sacrificing quite some security in this case. For starters, Core doesn't realise that the data directory is from a foreign source and will not verify each block. You are relying on other people to do it for you. Not that is a huge security risk but its still there.