my guess would be it needs a little more time .....could be a hand full of things ......

I search on the web about all kind of peppers and didn't find it,I see that many peppers have purple fruit. it's purple fruit (from green) and white flower with blue/purple pollen. I hope that help to identify my plant.

To me they look like a peruvian purple chile pepper

I don't sure that it a peruvian pepper because I think that the flower of perouian is purple.