That would probably require some serious infrastructure to set up secure food distribution points, which I'm assuming isn't easy because the locations have to change as the evacuation areas also constantly changimg. From the video it looks like they only have some berms and small fences so I'd imagine it's a dangerous security situation.
Although having way more food/distribution points might help reduce the violent mobs.
Do you realise how incredibly cynical you sound? We're not discussing the finer details of a logistical challenge here, but the fate of people starving to death. People that by and large are innocent.
Also: It'd require infrastructure that did exist before the IDF destroyed it. To feed people that weren't hungry before Israel blocked humanitarian aid. Don't reverse the guilt.
Although having way more food/distribution points might help reduce the violent mobs.