In advance: The research on colorfulness of ancient sculpture suffers from an inherent epistemological problem. We know about this fact from the written sources and from some actual examples were the paint has survived although it's very delicate (and ironically there are many cases in which is was most likely entirely destroyed by modern conservators). So we have to keep in mind that we to extrapolate from individual cases to a generla circumstance when we claim that every ancient sculpture was painted. However, in my and many other's opinion this is likely.

Well, what about the Romans. First of all they painted their "own" sculptures, e. g. the famous Augustus of Prima Porta or this portrait of Caligula where you still can recognize the color today (especially in his left eye). As for the copies of greek originals there are also many painted examples (unfortunately I don't have an image at hand at the moment) so the answer to your question is yes. Actually, one might even say that the Roman's preference for painted statues was one of the reasons why they copied them in marble and didn't use the original material which was bronze in most of the cases.