There are numerous photographs and videos from various events and occasions during Bush's presidency that clearly show him without a mustache. Additionally, there are no credible sources or reports of Bush ever having a mustache during his time in office.
It is possible that Bush grew a mustache during his presidency, however, there is no evidence to support this claim. It is also highly unlikely that he would have grown a mustache and then shaved it off without any media attention or public knowledge.
There is no record of Bush ever mentioning or alluding to having a mustache during his presidency. In fact, he has been known to make jokes about his appearance and facial hair, but never about a mustache in particular.
There have been some rumors and theories circulating on the internet about Bush having a mustache, but these are mostly unfounded and lack any credible evidence. It is likely that these rumors were started as a joke or as a way to create controversy.
The presence or absence of a mustache on Bush's face during his presidency does not hold any significant meaning or impact on his political career or legacy. It is simply a matter of personal appearance and grooming preference.