Since October, organizers and Palestinian cooks working with the World Central Kitchen have served more than 32 million meals in Gaza. Plans for the U.S. military to build a floating pier to bring aid into the enclave would give the group critical access to a steady supply of food they’d need to more than double the meals they’re serving daily. About 350,000 meals are being served every day, but Mr. Andrés said he would like to distribute more than a million meals.