مِّن جُوْعٍ

مِّن جُوْعٍ is a phrase (شِبْهُ الجُمْلَةِ), a compound consisting of a particle of pulling down (preposition) and a genitive noun

PhraseParticle/NounNoun Particle 
شِبْهُ الجُمْلَةِجَارٌ وَمَجْرُوْرٌاسْمٌ مَجْرُوْرٌحَرْفُ جَرٍّ
PhraseCompoundGenitive NounParticle of pulling down
  
from hungerمِّن جُوْعٍ=جُوْعٍ+مِّن
from hungerhungerfrom
Surah/Below is the only verse in the holy Quran containing the compoundمِّن جُوْعٍ
Verse
  
88-7  
106-4Who fed them against hunger and secured them against fearالَّذِي أَطْعَمَهُم مِّن جُوْعٍ وَّآمَنَهُم مِّن خَوْفٍ