No. You see the abundant food choices in developed countries and yet only a small percentage of the population is vegetarian or vegan.
The reason why people choose a vegetarian/vegan diet is also varied and sometimes has nothing to do with wanting to stop the suffering of animals. Losing weight, a healthier body, peer group pressure are alternate motivations.
The decisive factor is not poverty.
I was also in the Philippines, and I was able to eat quite well for my 3 months there. I ate rice, beans, fruits and vegetables. My costs were the same as a local.