Yes plenty of people walk their dogs on the pier.
The Dunedin Pier is dog friendly, as is most of Dunedin (nickname: DogEden). However, the remodeled pier surface is not wood. It is Trex -- the wood look-a-like made from plastic. And it can get very hot in the Florida sun. So, put your hand down on surface to check if it will be too hot for your dog's paws.
Thanks! Your answer is awaiting moderation.