The answers are both yes and no.
The DFA recently announced that the PSA birth certificate is no longer a requirement when getting your passport renewed. While this is true for passport renewal transactions, it does not apply to other cases of passport transactions with the DFA.
The PSA birth certificate remains to be a major requirement for all other passport transactions; below is the list of other transactions with the DFA this is still a requirement:
- First-time passport applications.
- When having a damaged or mutilated passport replaced.
- Applicants that are included in the DFA watchlist.
- Renewal of the brown and green old Philippine passports that has no complete middle name of the owner.
- Changes in personal information such as for married women or if changing from married name to maiden name.
Be properly guided, friends!
References:
MasterCitizen's Blog 
Plz help me po..kung paano ko po pasusustentohan baby ko sa ex kung chinese ..hindi ko po alam kung nandito pa sya sa pinas or nsa china na..4months na po baby ko.paano po ako makakapag file ng kaso kung hindi ko po alam kung nasaan po sya?
Kailangan po sa lawyer kayo mag inquire ng pinaka magandang gawin para sa family cases na tulad nito. Marami pong family lawyer sa PUblic Attorney’s Office (PAO) na pwedeng maka tulong sa inyo or makapag bigay ng advise.