No, because they're not human. But your adaptive immune cells can, because after VDJ recombination they are unique!
Also, um, identical twins might count as only one person because they don't have their own DNA? (If "own DNA" is necessary and sufficient for individuality.)
One who rejoices when everything is made as simple as possible, but no simpler. Sayer of things that may be wrong, but not so bad that they're not even wrong.