Yes, in California, a notary public can administer the attorney’s oath. Please see the link to the The State Bar of California for more information on the Attorney’s Oath. Link

A Notary Public is a public official appointed by the state government. Their main role involves serving as an impartial witness when important documents are signed  and ensuring that the signers of the documents are who they say they aer and that they understand the contents of the documents. 

The Secretary of State is responsible for overseeing notary commisions. Please visit the website at https://www.sos.ca.gov/notary/ OR this Link