Depends on the laws/rules that govern your state.
In Washington, an Apostille is a function performed only by the Secretary of State’s office.
“An apostille is a document issued by Washington Secretary of State that verifies to a foreign government the official document – birth, death, marriage, divorce certificate, or single status letter – came from Washington state.”
Since notaries in Washington are prohibited from notarizing vital records, this means we cannot do Apostilles either.
https://doh.wa.gov/licenses-permits-and-certificates/vital-records/apostilles#:~:text=What%20is%20an%20apostille%3F,letter%20–%20came%20from%20Washington%20state.
What is an Apostille?
An “apostille” is a form of authentication issued to documents for use in countries that participate in the Hague Convention of 1961. If the country of intended use does not participate in the Hague Convention , documents being sent to that country can obtain a Certificate of Authentication.
The Office of the Secretary of State provides apostille and authentication service to U.S. citizens and foreign nationals on documents that will be used overseas. Types of documents include corporate documents such as company bylaws and articles of incorporation, power of attorney, diplomas, transcripts, letters relating to degrees, marital status, references and job certifications, home studies, deeds of assignments, distributorship agreements, papers for adoption purposes, etc. The U.S. State Department provides general information about document authentications and apostilles under the Hague Convention of October 5, 1961 .
For document types, and where to obtain them, please see APOSTILLE DOCUMENT GUIDELINES.