from any moment to the next, it is possible that consciousness is discontinuous. sleep, anaesthetics, etc., these things are not needed.
all that is needed is a memory of continuity.
so at any given time, all you are is you at that time, and you have memories of previous moments in time. memories are fallible. it’s possible that none of your memories ever happened at all. it’s possible that you are a clone of someone else who existed.
so is it possible that you are both the clone, and the person who existed previously?
consider whether you are (now) the same person you were at any point in the past. if you view yourself as a point in this geometric mish-mash, then you are not. from what we can observe, it is possible that we are a point in said mish-mash, so i think the answer is that it is possible that you are both the clone and the original.
on identical twins, many people believe twins have an uncanny ability to communicate, or think the same thoughts. is it possible that twins, being clones, often think the same thoughts because they had such similar starting points, or has experience changed them so much that it’s all just bollocks?
one interesting experiment with this cloner would be to make two copies at the same time and see where it goes. you could try as much as possible to put them in perfectly similar environments, and see how they are affected by subtle experiences, such as air content and flow, etc. if you put them in exact replicas of a bedroom to wake up in, for example, it would be interesting to see how the very slight differences are magnified in their actions, and how closely they would behave in exactly the same way upon awakening. it would also be interesting to see them meet.