You can, so long as your left turn results in your traveling in the appropriate direction as dictated by the one way road, and so long as turning left isn't specifically prohibited at that...
In some locations, a left turn can be made at a signal after stopping, even where either street (or both) has two-way traffic. This will be advised by a posted sign. Local traffic regulations...
In most cities, it is legal to make a left turn from the left-most lane of a one-way street onto the left-most lane of a one-way street travelling to your left at a red light.