You can probably put enough screws in to secure it, but I would try to attach it to the bottom wall plate and a noggin that should be between the studs.
Finding the noggin could be a bit hard, but on a 2.4m high wall they would be around 1.2m high, and a 2.7 at 1350mm. If the wall is higher it would have two rows of noggins and these might be a bit harder to find.