What do mean by transmit an object? Do you want to transmit mass (simply stuff) or are you concerned with the structure of the object? If the quantum configuration of the object is important, then quantum teleportation would allow you to take an unknown quantum state of an object and reconstruct it at a distant site without the object traversing the space in between, by use of pre-shared entanglement and local operations and classical communication. Here, no mass is transported, only the information of the quantum configuration of the object (through dual Einstein-Podolsky-Rosen and Classical channels).

Mass itself can be transmitted by converting it into energy forst, but this isn't the most efficient use of your resources, might be best to just find enough of the raw constituents at the final destination to reconfigure into the teleported object.