It rather depends on what you define as "human conciousness". If you take the view that my conciousness is an emergent property of my brain that has changed over time (ie my conciousness at the ages of 3yrs, 10 yrs, 16 yrs etc is very different to what it is now) but that it still constrained by my physical body, then the answer would be "no." At the death of my physical body I die. However if you mean "can some version of me survive my death" then (going a bit Star Trek) if you programmed a computer "conciousness" with an algorithm that mimicked my likes/dislikes and the sort of choices I would make would that then be an extention of me?