I actually know for a fact that it can of the food is in a deeper dish. It will be able to shove it's whole beak down to eat.let me know how it goes.
I don't know much about beaks. Could you superglue it? Maybe it would heal like a bone.
Ok, I just looked it up at http://beautyofbirds.com/brokenbeaks.html There is plenty of advice there which includes superglue in some cases but it should be the gel.