It depends on whether or not you believe in the idea that Arceus created the universe and thus all pokémon. If you do, then yes. In a way, anyway. According to the myth, Arceus created Mew, who in turn is the ancestor of all pokémon, which means that eevee would be distantly related to Arceus itself.

If, however, you take more of a scientific approach, then likely no. While no one has a sample of Arceus’s DNA to confirm this, judging by appearances alone, I would venture a guess that eevee and Arceus are too genetically dissimilar. However, they do belong to the same taxonomic kingdom, so there’s that.