It can of course, but problem will be with drivers. It seems that older cards, as the R9 380, prefer 15.12 drivers, but RX 480 need the latest ones. However, maybe it has been corrected and there's now no problem at all by running everything at the latest drivers.
for sure really not sure if you use latest drivers on RX480 and R9 380 you will not get black screen as it happens when u use latest drivers on R9 380