The simplest answer is "No."
If you are dating another person because you find them physically attractive (first and foremost), then there is a high likelihood that you are dating them based on your body's own chemically based preferences. Yes, attraction is partially, if not heavily, chemical in nature.
That said, if you aren't dating them because you find them to be some sort of "inferior human being," but you'd be willing to have sex with them anyway (a la 19th Century U.S. standards), then the answer is "Yes."
Myself, I simply do not find black women attractive, at all. Ever.
I can certainly admit that a black women is physically beautiful, even stunning. But my body looks at them and says "eh." That's not in my head and it's not my fault. I literally feel nothing "down there" or anywhere else. In fact, naked black women actually put me off, the same way that a picture of a naked guy does. There's nothing wrong with them (or naked guys for that matter), but I am just, simply, not interested.
Is that racist? Of course not.
Likewise, I am not particularly interested in most blonde women with only a few very rare examples breaking through and causing me to do a double take and, despite all my interest in Asian culture, not really all that attracted to Asian women (Meisa Kuroki excepted). Nor am I fond of particularly tall women, being only 5'8" myself. I am generally attracted to shorter white/hispanic women with darker hair. That's just what my body says "Yes, let's pursue that!" I have no control over it and it's not a mentally based racial choice. Thus, it is not racist.
In fact, I married a woman who fits the descriptions above.