No, a hungry baby will not generally stop crying without food. Hunger is one of the most common reasons why your baby will cry, especially if he/she is a newborn. The younger your baby is, the more likely it is that they will hungry. Your baby's stomach is small and can't hold very much. So it won't take long before it empties.
If you're breastfeeding, offer your breast, even if her last feed doesn't seem that long ago. This is called feeding on demand. If you're formula-feeding, your baby may not need more milk for at least two hours after her last feed. Every baby is different though.