Yes, in some Arthurian legends, there are mentions of his dog. However, the Arthurian legends are a mix of history, folklore, and myth, so it's hard to say exactly how much of the dog's story is 'real' in the modern sense. The legends have been passed down for centuries and have been embellished over time.
The idea of King Arthur's dog in a real story is complex. The Arthurian legend has roots in Celtic and medieval European history and culture. While there's no conclusive evidence that there was a specific dog in King Arthur's life as described in the full-blown legends, it's not impossible. Dogs were important in those times, used for hunting, guarding, etc. Maybe there was a dog associated with a figure like King Arthur that became part of the growing legend. Over time, as the story was told and retold, this dog might have been given more heroic or symbolic qualities, like being extremely brave or having a special connection with Arthur.
Well, the story of King Arthur's dog might have some elements of truth. In the broader Arthurian tales, many aspects are based on real places and people from that era, which were then overlaid with fantastical elements. The dog could potentially be part of that, perhaps a hunting dog that was known to be loyal to King Arthur. But it's also possible it was added later in the development of the legends to show his noble character, as a king with a faithful dog is a common trope in many stories.