Yes, within limits. Most US state sweepstakes rules permit (and some require) publishing the winner's name and state of residence. What you should disclose is the minimum needed to prove the draw was real — typically first name, last initial, and country/state.
Full addresses, email addresses, phone numbers, and birth dates are off-limits without explicit consent. Photos of the winner require the winner's permission.
Meet Your Fan's default winner announcement page shows: first name, last initial, country, campaign, and the RNG proof link. The influencer can expand this with the winner's opt-in (e.g. "Winner wanted to share their reaction video!").
EU/UK entrants can ask that even their first name not be published; honour those requests.