The "unavoidable EXP battles" refer specifically to a sequence of battles against Amdusias, Abadon, and Shield Dragon at Pandemonium. These are the fights during which Zidane begins alone, only for other party members to show up. Amdusias, Abadon, and Shield Dragon all give EXP, and all are invulnerable to Petrify and Stop. As a result, it is impossible in a normal game to reach Necron with all Level 1 characters. However, by killing off certain characters and forcing others to take the unavoidable EXP, it's still possible to reach and defeat Necron with a Level 1 party.Originally Posted by boys from the dwarf
Since Ozma can be battled before this, a true Level 1 Ozma game is possible.
EDIT: Necro already said it.