Is it normal to have recurring dreams about a person i've never seen?

Is it normal to have recurring dreams about someone I've never seen in real life or on t.v.? It seems like I've made the person up. But, it seems this guy and I have some sort of meaning to each other. The dreams also involve time travel and me being older and in Victorian times. The first dreams started with him and I in modern times spending time together on a beach, or in a restaurant, laughing, chatting, holding hands. Then, one night, I was in a candlelit Victorian era room dressed in Victorian style bedclothes with my hair braided and I was much older. Someone handed me a newspaper. I looked at it and completely broke down crying, saying "my love, my love," in between sobs. Then the dream faded away. A later dream was set in modern times somewhere in a big city. I was in a taxi and he was chasing after me. I was yelling for the taxi to stop, but he wouldn't. I frantically rolled the window down and yelled for the man to help me. And yelled out "I love you!" to him. He caught up to me(anything can happen in dreams) and was beating on the side of the car and trying to hold on through the open window. We finally clutched hands, but the taxi sped off leaving my dream guy in the road. Then that dream faded away. A later dream I had seemed to be set in distant future times, but I was still young. This dream was sci-fi and futuristic looking. All I remember about this one is we were holding each others hands for dear life as we were being sucked into different vortexes or whatever. I'm crying and he looks frantic. Right before we're ripped from each others hands, he shouts to me "I'll be back for you! I promise!" I wake up as I'm being torn to molecules. That was the last dream I've had with him in it. That's been years ago, yet I could most definitely remember his face if I saw it. I can't forget it. I honestly think about it at some point every day. I would like some suggestions as to what these dreams could mean.