I think you can. Anyone can pull off red. the trick is to make it fit your skin tone. Everyone regardless of race, is either cool, warm or neutral. If the veins in your wrists are blue, you're cool. if they're green you're warm and if they're blue green, you're a neutral.
Now

That being said, blues/cools can't really pull off oranges and yellow based colours. So tomato red lipstick won't work for you. You'd be better with a bluish, berry red. Similarly if you're warm, stay away from the blue based reds and choose a firey, warm-toned red instead.
If you're neutral, you can wear any shade usually.
The trick isn't whether or not you can wear red... most people can find a shade that looks great on them. The trick is to know your skin tone and work from there.