I presume that you mean that the utility costs aren't what you assumed when you bought or rented a LEED unit? LEED is simply an accreditation of a building, not a DPD code requirement. However, there are many land use codes that require certain standards. I think the only way DPD would get involved would be if something were faulty on the building itself (I.e no insulation, windows falling out, structural settling causing safety issues). And even then, I think you would have more luck with the builder than the City in terms of remediation or reimbursement. Most new for sale units come with a year warranty. Most new multi family buildings (for rent) have a contract with the builder for a year guaranteeing fixing of broken things. I would bring whatever problem you have to the responsible party.
All this being said, I am a a developer and the performance of LEED buildings is a hot topic right now. LEED does not guarantee an efficient building and you cannot control for faulty construction or individual behavior. there are a lot of variables in building systems that may lead to higher bills than you were expecting.
Mind sharing your issue? I am curious now!