Absolutely. That is the exact cross used to create black sex links. Males will have white spots on the back of the heads, and females won't. You can tell them apart right at birth.Is it always the case if you mate a barred hen with a none barred rooster the offspring will be sex links?
For example if I take a Barred Plymouth Rock hen and Rhode Island rooster, the resulting chicks will be sex-links?
If you used a rooster with the dominant white gene, it probably wouldn't work, because the chicks would likely be all white and you couldn't see the white spots on males. But otherwise it will work.