First, spell 'blowing' correctly. And yes, you can blow up the Citadel, either from the SatCom Array in expansion pack Broken Steel or through console commands on the PC.
Summon extreme amounts of mini nukes, type 'tgm' to turn godmode on, otherwise you will die, then shooting at the mini nukes. Because the Citadel has a 'destroyed' model too, a large enough explosion may revert the citadel to this state. This Easter Egg may only work with Broken Steel installed.
(note: this is also possible on Consoles, but you would need to collect pretty much every mini nuke in the wasteland, and somehow survive the blast (possibly by leaving the nukes there, going outside and firing an arcing weapon (Fat Man or the 'Miss' Launcher) into the courtyard.)