Our friends at the Los Angeles Times think it's within the realm of possibility.
The Times' Mark Milian singles out a tweet from Twitter co-founder Biz Stone, saying that the former president just got a BlackBerry. In the tweet, Stone wonders if tweeting will come next for Bush.
While in office, president's typically do not have access to e-mail or other electronic communications for fear that their contents might be subject to public information laws.
Milian says now that Bush is out of office, the time might be ripe for tweeting. Many public figures use Twitter to publicize their books, films, and other events. If President Bush's rumored book deal becomes a reality, he might take to Twitter to promote it, Milian surmises.
Former House Majority Leader Tom DeLay took to Twitter only after he was selected to appear on ABC's "Dancing with the Stars."
An even more convincing piece of evidence: The Bush Library appears to already own the @GeorgeWBush Twitter handle. But don't get too excited folks, users are unable to follow the locked profile.
Bush's former deputy chief of staff Karl Rove already tweets @KarlRove.
Photo of Stone and Bush via Twitter: