Define "individuality" and "consciousness" for the sake of trying to contrast them. Both seem like very vague open-ended words. Oh wait, they are, because we still can't define consciousness, so there can be no meaningful answer to your question.
no - the question was around a self-aware entity (an "I") becoming aware of its future non-existence. A conscious being without self-awareness would not be capable of considering its self no longer existing.