yeah through the British embassy of manila...

http://www.britishembassy.gov.uk/ser...=1029459735332

and for the passport heres the requirements:

FIRST TIME APPLICATION (under 16 years old):
Please submit ORIGINAL documents.

1) Completed C2 Form;
2) 2 Photos (see photo guidelines)
3) Philippine Birth Certificate on NSO security paper;
4) Parents’ Birth Certificate (United Kingdom Long Birth Certificate for British Citizen parent, if born in the Philippines, Birth Certificate on NSO);
5) Parent’s Marriage document (NSO version if married in the Philippines)
6) For parents: Divorce Decree/Death Certificate of spouse (if applicable)
7) Home Office Certificate of Naturalisation or Registration as a British Citizen (if applicable)