That information is not embedded in the transmitted ADSB data, so...no.
Theoretically, if the transmission is not using "anonymous mode", the unique ID of the transmitter could be cross-referenced at the FAA aircraft registry website, and details like the aircraft type, serial number, owner name and address, etc. could be retrieved. However, that would require an internet connection, which is not generally available while airborne.
Edit: Walter beat me to it by a few seconds!