It probably already can. I'm not an expert, but from what I understand CRISPR targets specific DNA sequences. Race can be determined by DNA testing, therefore I think (again, I'm not an expert) that there would be certain sequences that are specific to a race.

Now CRISPR alters the specific sequence that it targets. In fact, CRISPR only cuts the DNA at that sequence, other proteins must be employed to change and then fix the DNA. It may be well enough to simply cut up a specific race's DNA and leave it at that. Or if those cells die off too fast, splice in some garbage DNA that will at least let the cell reproduce.