Yes, everybody is attracted to a type.
ofcourse its normal. I mean are you really worried about it because why ? Thats the most chilled out thing , and funny too, i mean your worried because you like dark skinned girls, really? LOL
How about we try it again without a reference to skin color.
"I'm really really attracted to girls, is that normal?"
The answer is . . . "YES"!
Also, notice that I don't particulary care what GENDER you are . . . Either.
Don't dispare.
Love always find a way.