Im not a British girl, but as a British male, of the two people I have had a relationship/dated: 1 was an overseas student from Hong Kong, the other was born in the Philippines and has lived here 7 years (She would identify as Filippino before British Id say).
So, sure, why not. I do have a great interest in languages, travelling and trying new cultures and food, so that could just be my preference to branch out from what I know and delve into the relative unknown of people from other countries and cultures. Certainly makes them more interesting. (I also, as it seems, have a thing for Asian girls)