In both LWA series and OVA, I only saw female wizards. The most likely to be a male wizard are Lotte's dad and the magical shop owner but I never actually see them perform any magic. There are also several non-human male character like the Dragon Fafnir, but every human male seems to be a muggle. Is there any human male wizard in LWA world? If there are none, why all of them is female?
The series never states the existence or non-existence of human male magic users.
While we can assume from the setting that wizards likely don't exist, the best answer is:
We don't really know.