Non-human apes tend to be empathetic within their own troupes, caring for the young, sick, and elderly.
Nonhuman apes never engage in long term food storage. They only do short term hoarding (monopolization) of specifically high value foods.
I'm a Biologist, so I'm gonna get nerdy for a bit and fully answer this.
Chimps and Bonobos have been known to brutally murder tyrannical (authoritarian) leaders.
The Macaques are a "hoarding" species that come to mind. If a lone member finds a bunch of food, they'll hide as much as they can in their cheeks(their cheek pouches can hold nearly as much as their stomach). They have a very strict hierarchical societal structure. If a subordinate hoarder is found out, they will be attacked and coerced to regurgitate the goods.
With most species, hoarding is reserved for the top of the dominance tree. We see this with chimps and how meat is distributed(meat is a highly prized rare treat and it generally incites violent unrest).
Chimps won't hoard plants, but they will hoard meat.
If a mid to low level member is found hoarding meat, the others will surround them, tear at their face until they get the meat from them.
This has led to an interesting social adaptation where the hoarders will "bribe" allies and high ranking female members of the troupe to protect them from the mob.
Look up "tolerated scrounging".
Capuchins also punish greedy members of their groups if they believe that they have been cheated. They will even sabotage a known food source if they believe that they aren't getting an equal share out of sheer spite.
Basically, hoarding among nonhuman apes can be summarized like this -
Some animals have the luxury of being alone or mostly alone so they can store things away in holes and such, but apes maintain a very social lifestyle. They almost always have eyes on each other. There aren't really many opportunities for them to locate a large cache of food without another noticing and are even less likely to be able to transport it somewhere that it can be hidden effectively.
Because of this, it is generally the case that hoarding is a luxury for the top alpha in any given group.
Bearing this in mind, if an alpha is hoarding food during a famine, it is very likely that they will be violently deposed.
I have peer-reviewed primary literature for everything here. Don't get me started on animals, I can go on forever.