If it's plaster over brick or concrete you should be fine as long as your screws are quite long. If it's a stud wall with just plasterboard I'd be careful and probably not bother unless you screw it into one of the studs.
If you do screw into brick / rawlplug, I often buy my own screws and plugs if I think the supplied ones are inferior. I asked here about fitting a heavy glass bathroom cabinet and I ended up binning the Ikea fixings.
Stud walls usually sound hollow when you knock them.
I want to fit two of these to a wall
How can I check the wall in question is suitably strong enough?