Ofcourse possible.
I suggest you to use rf module pair tws/rws 434. Go through the datasheet. All you have to do is to connect the data_out pin of receiver to a relay through a driving transistor. Use common transistors like sl100. On the output side of the relay you can connect your bulb. Give 5v to the data_in of transmitter. You should be with in a maximum range of 30 meters