Yes, no hunting license is required for varmints in Wyoming. But if you were born after 1964 you must have a hunters education card with you when shooting varmints to present to a game officer if he asks for it.
Just making sure nobody gets a ticket.

I had to turn mine in when I got my license years ago, so last year I retook my hunters ed with my son to get a card.
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NRA Life Member
** NEVER! Moon a Werewolf!!**