I have no idea but it may be possible to rig something if you want.
I have a salt water fish tank with coral in it. The coral needs really high powered light to survive, but that same power light also gives off a lot of heat. It gives off so much heat that I sometimes need to cool my tank off.
Anyway, to cool my tank off I took one of those 2-3" computer fans that are in a desktop computer. I cut off the adapter that would normally plug into the board of the computer so that I had just plain wire. I then took an old cell phone charger and cut off the piece that you would plug into the phone. Finally, I spliced the computer fan wire and the cell phone charger wire together and you get a 12V fan. This little 12V fan blows across the surface of my fish tank and helps to evaporate the water which actually helps cool my tank. One little fan can cool off my 70 gallons of water by 2-3 degrees.
With all of that said, if you are familiar with swapping out your light bulbs with LED's then you are familiar with the fact that you have the piece that goes into the actual light socket and then you also connect the actual LED panel to the part you installed in the socket. Below is a picture of the piece you would actually put in the socket. The picture has 4 different ones depending on your setup, but most likely it's the 921 piece on the right.
Anyway, the computer fan could plug into that 921 quick connect and that should theoretically power the computer fan. You might have to splice the wires instead of using the quick connect.
I'm not saying this will work and I've never tried it, but I really think it could work as you intend. I can guarantee that many, MANY people do power those little computer fans with the 12V cell phone chargers though. Many people that have fish tanks that they need to cool off use this method. Many people that have a kegorator also use this inside of the fridge. I'm sure there are many RV'ers that use this inside their fridges to help circulate the cold air around.