I guess it depends on the definition of evil when people say the world evil.
By the definition of evil that I see, I would say that God never has and never will do evil, because with the Creator, everything is in balance.
But with the definition used when the word evil was used below, it is possible. But I bet that the the use of it below was a translation that isn't completely accurate.
 And Moses besought the LORD his God, and said, LORD, why doth thy wrath wax hot against thy people, which thou hast brought forth out of the land of Egypt with great power, and with a mighty hand?
 Wherefore should the Egyptians speak, and say, For mischief did he bring them out, to slay them in the mountains, and to consume them from the face of the earth? Turn from thy fierce wrath, and repent of this evil against thy people.
 Remember Abraham, Isaac, and Israel, thy servants, to whom thou swarest by thine own self, and saidst unto them, I will multiply your seed as the stars of heaven, and all this land that I have spoken of will I give unto your seed, and they shall inherit it for ever.
 And the LORD repented of the evil which he thought to do unto his people.
Itinual Praises unto Jah RasTafarI Haile Selassie I Menen I