Do men wear dupattas or stoles as part of traditional Indian ethnic wear?

Yes — male use of dupatta or stole is an important part of several Indian regional traditions, though it is less discussed in mainstream fashion:

Regional traditions of male dupatta/stole use:

• Rajasthan / North India: "Odhna" or "Angavastram" — a long cloth draped over the shoulder as a symbol of honour. Presented to guests and grooms at ceremonies. Also worn as part of sherwani or formal kurta styling.
• South India: "Angavastram" or "Uttariya" — a white or coloured cloth draped across the shoulder, worn with dhoti or Veshti for religious and formal occasions
• Bengal: "Chadar" — a thin white or printed cloth draped over the dhoti kurta for formal functions
• Sikh tradition: Not a dupatta but the ceremonial Palla cloth is integral to wedding rituals (tied between bride and groom)

In contemporary fashion: Men's silk or pashmina stoles are increasingly used as styling accessories with bandhgala suits and sherwanis in wedding photos.