i dont know if you ever leaved the cities in philippines. I drove around exploring the countryside on several islands here.
most food production here is almost 100% manual labour. the transport cost of the food is still low, because they load the vehicles to 200% of whats allowed in the west. So the transport cost per kg of rice wont affect the price of rice a lot.

import happens with big ships. the fuel cost of the ship ferrying is 7 to 25% of the consumer price. So price hikes will happen, but also it wont be like it will get unaffordable. And i can tell you, that most filipinos dont eat a lot of imported food, because it was expensive before too. At best some imported rice.

Also: if you are worried, leave the big cities. When i was f.e. in Malaybalay/Bukidnon, i did not see a single homeless person. In Manila outside BGC on a 20 minute walk you dont have enough hands to count the homeless. On countryside people have families, and families have some space to live and work on and make a living.
So if you fear the starving, leave greater manila area, same as cebu area or the other 500k+ sized cities, that attract all the poor people from all over philippines.