It is absolutely normal. But it is not common.
As citizen of this generation, i have witnessed both sides of the story. You haven't mention what the connection is based on, but unconsciously i assume it would be internet. As the internet age arrived the world experienced this so i'd call "virtual sights of love" and to many it can not make sense by any means. But to some, they found their beloved partner this way. I have witnessed both danger and peace, disaster endings and happy endings following this frame.
In my perspective, life is not physical, we are all emotions. Without our feelings, we are nothing. Thus i believe in such type of loves. To me, it only depends on individuals. If have faith and know how to manage. It can have a happy ending. But this is something i can not recommend to anyone to follow. There are risks, there's possibilities, it could end up anyhow if the person not be aware of how to control and manage the relation. The side effects can be harmful. So it is normal. But you can't find many people to agree with you on going down to this path.