No. In Williams v Phillips, dustmen employed by the corporation were convicted by magistrates of stealing goods from dustbins collected in the course of their rounds. On appeal, the Divisional Court (the appeal court in the High Court that hears appeals, on points of law, from magistrates' courts) held that refuse put in a bin was not abandoned. It was the householder's property until it was taken away, when it became the corporation's property.
The same reasoning must, surely, apply to stuff on the tip.