If you do believe that people having their past lives is true, then you are not alone. Since the beginning of my teaching career, I have seen people come and go all the time. Some of them have made an impression on me. However, it is hard to explain the feeling but I just feel like I must have seen them somewhere in the past, or even earlier than that.
One hypothesis is, that we might have been acquainted with one another in our "last" life. I might have been a teacher already then, and these people used to be the students of mine. We just gather around again for some reason in this life. Though reincarnation can't prove itself to be true to science, I will say I still persist my intuition that life is eternal.