As far as the tracking on aviation websites goes, no you cannot, at least not with the drones or UAVs available for leisure activities.
In order to track these devices they would either need to be equipped with FLARM or a transponder with Mode-S, which again would require a registration.
Unless you have fitted a GPS transceiver to your UAV which offers online tracking via the vendor's website, you will be unable to track UAVs.
Technically it is possible to track large UAVs as well, if they have transponders they would show up like civil aircraft, as in radar trackers.
If they do not have regular ATC transponders, the ADS-B system, which is used for traffic collision avoidance, will give out UAV flight data, which potentially could be published online by anyone with the necessary receiver.
However, small UAVs (smaller than 10kg, let's say) would probably not carry the above mentioned transponders, so possibly their ground control stations sohuld submit flight data to a central server, to allow people following drone flights.