Probably. The only things that would cause you to not use an LED bulb would be that the housing is too small, the cover is too small (however you don't have to use this), or if you had a dimmer that was not compatible with the LED bulb. Given that we don't have the exact dimensions of your housing and cover, my advise would be buy a bulb and try it out.
LED permeate much less heat than incandescent bulbs and use less energy. Also they are not prone to failing with vibration (although I know some will argue this) as other bulb types so as of right now they would be the ultimate bulb type for a fan.
Also not that there are LEDs in all sizes now. I just purchased 6 LED dimmable bulbs that output close to what a 100W incandescent would and they are the exact same size. These ran me about $16 a piece.