Hoid is known to have spent time with many of the Shardholders, such as Rayse, Ati, and Tanavast. Since he has such close association with the Shardholders, it seems very unlikely that he doesn't have a Shard. So, why shouldn't he have one? Completely gambling, I would like to suggest that his Shard's intent be mischief, because Hoid is unable to cause people physical harm, is known in his role as Wit for being harmless, but knowing too much, and Rock has met Hoid, saying that Hoid was a god of mischief, and unable to harm anybody. However, this is shaky evidence at best, and so his intent could be something else.