No.
In accordance with the Act on judicial cooperation in criminal matters with Member States of the European Union (transposed provisions of the Directive 2014/41/EU of 3 April 2014 regarding the European Investigation Order in criminal matters) the cross border tracking can be conducted on the territory of the Republic of Croatia in the framework of the execution of the EIO. In this case, the investigative judge orders tracking on the request of the County State Attorney´s Office, based on the EIO.
In accordance with the applicable international agreement and Act on mutual legal assistance in criminal matters the cross border tracking can be conducted on the basis of MLA request if the conditions prescribed by the Criminal Procedure Act are fulfilled.
In both mentioned case the tracking device is being installed by the Republic of Croatia (police) as executing/requested State.
There is no legal provision that regulates the measure of cross border tracking where Croatian authorities just authorize the tracking on Croatian territory by the tracking devise that was already put by the issuing State.