As most have said, yes, it does exist. It is possible to be attracted to both genders. While I am a straight male, I understand that others don't have the same feelings I do. It used to be difficult for me to accept that fact that someone could be attracted to both sexes. I never had a problem with gays, but I did have issues with understanding how anyone could be "bi". Later on I talked to different people and realized that it is very possible for someone to be attracted to both sexes. It's not something that can be helped, either.

I wish you all the luck with trying to find yourself, and if you need any help I am here!