No it doesn't. Only the copyright owner can re-license.
You can put modifications (that enjoy copyright protection) to BSD licensed code under the GPL or put BSD licensed code in a larger GPL code base, but you cannot re-license code covered by the BSD license.
You can put modifications (that enjoy copyright protection) to BSD licensed code under the GPL or put BSD licensed code in a larger GPL code base, but you cannot re-license code covered by the BSD license.