Fashion designers have tried that before. IIRC, in the 70s or 80s they showed designed of males carrying purses — and males wearing skirts. Neither trend really caught on.
There is a long history, though.
Middle Ages - Girdle Pouches
Renaissance - Swete Bagges
Renaissance - Satchel
Industrial Revolution - Briefcase [resembling what we call a Doctor’s bag]
World Wars - Bread Bag
Modern Times - Messenger Bag
Recent - Man Bag
I am genuinely interested in how you collected that info!
Are you a historian?
Regards,