I think it would. It seems as if the 'usual' date of this night is the 27th of Ramadan though.
From December 2001...
On Alert for a 'Night of Power'
The Director of Homeland Security warns, "This is not the time to stand down"
Al Qaeda may be all but whipped in Afghanistan, but U.S. authorities are no less worried. Tom Ridge, the director of Homeland Security, issued another of his nonspecific-threat alerts last week, warning: "This is not the time to stand down."
Especially not this week. For extremist Muslims, Wednesday is the 27th night of Ramadan, the holy month on Islam's lunar calendar. Called the "Night of Power," it marks the date in 610 when the first verses of the Quran were revealed to the prophet Muhammad. It is a time of Allah's maximum forgiveness--when, among other things, the sin of a suicide bomber is most likely to be washed away.
Faiz Rehman of the American Muslim Council in Washington, D.C., dismisses the idea that terrorists would choose a date for its religious significance. "They do something when it's easiest to do," he says, pointing out that "September 11 has no meaning in Islam." But the Night of Power seems to have symbolic value for bin Laden and his associates. Around the end of Ramadan nearly two years ago, the terror network planned a millennial spectacular, with bombing attacks on Los Angeles International Airport, a U.S. destroyer in Aden and tourist sites in Jordan. All three plots were thwarted, but at least one was planned for the 27th of Ramadan, says author Peter Bergen.
What form might any new attack take? U.S. intelligence sources say that little has emerged from Afghanistan to demonstrate that Al Qaeda has actually succeeded in constructing a nuclear or "radiological" bomb. Instead, America's top terror experts say the likeliest kind of attack would be a conventional assault by suicide bombers in a crowded place.
Newsweek U.S. Edition