No. The ENERGY STAR score for multifamily properties is for whole properties only.
Energy use and energy systems in different parts of a building have a direct effect on each other. For example, a unit located nearer to the middle of a building may be insulated by the units around it and therefore have lower energy use than a unit on the corner of a top floor. Similarly, the degree to which hallways and common areas are conditioned may affect conditioning requirements for individual units (and vice versa). To get an accurate picture of a property’s energy performance, it is important to take the whole property, including all buildings, into consideration.