Can I Travel Back To The Philippines Only With A Valid Green Card And Expired Philippines Passport?

I only have a green card. My Philippines passport is already way expired. I am planning to visit my family in the Philippines in 2 weeks and do not have time to wait and have it renewed here in the U.S. because it takes 6 weeks. I really need to leave soon. Can I use my expired passport traveling back to the Philippines and just have it renewed when I get there and make sure I have a valid passport before I go back to USA?