Blocks are linked. You need the previous block to calculate the nonce (which includes a hash of the previous block). Thats why you cant mine offline for longer than ~10 minutes. After 10 minutes you are essentially forking.
^^ This answers te orignal question.
May I ask what is your goal? Are you trying to save bandwidth? Looking to 'mask' the reporting daemon? Trying to minimize net exposure?
Well, I may have access to 2 T/hash under certain conditions, and hashing offline may be one of those conditions.
Noob, hows your basement operation going?