If you both like each other and respect each other, I don't see why not. I must admit that I've never heard of this specific racial/nationality pairing, but that doesn't mean that it isn't possible. I believe that just as long as you guys really do care for one another, anything is possible.
I will admit that marriage might be tricky since you also have to get consent from your family. It'll be especially difficult if they are closed minded people. But that is for a later discussion. As of now, we are just talking about love and there isn't a law or anything like that that is telling us we can't fall in love with someone of a different ethnicity or nationality. That's why I say go for it!