It could be pointed out that every person, while still alive, is continuously losing cells and manufacturing new ones, so that, over the course of several years, a person does not have the exact same physical body. Yet, they are still the same person, except for the fact that they have accumulated new experiences, etc.
One could argue that an individual alive now is not exactly the same individual that existed 5 or 10 years ago due to life experiences and gained knowledge, and so on.
On a different note, if one sees a person, as they exist right this moment, as a multitude of atoms with particular 'settings' unique to that individual, then, the theory of quantum entanglement would allow re-creating that individual from a different clump of entangled atoms that had their 'settings' (as it were) set to exactly how that individual was. This is the idea behind Star Trek's transporter. It is understood to be theoretically possible. Humans just don't have the ability to pull it off yet. Physicist Brian Greene discusses this in one of his PBS Nova programs.