Same etymology for "art" (as in Warhol and Rembrant) and "art" (as in "thou art...")?

I’m just curious if the word denoting creative productions and the old verb “to be” come from the same root.

Art (n.) comes from the latin “artum,” meaning “to fit.” (It originally meant “skill.”)

Art (v.) as in “Thou art” in an inflection of the verb “am-”, which dates back to Proto-Indo-European and means “to be.” The latin form of the verb was “es.”

The OED says:

So they come from different sources.