The most useless advice to an apartment prepper is to buy a house. That is like saying to someone lost in the woods, "Get found"
People ask for advice for where they are at now, not where they will be at 10, 20, 30 years from now. Come on, the guy is going to school, he will have all the expense of school and what he learns in prepping with that apartment will help him even if he does buy a house after he gets a full time job without the distraction of school.
In an apartment, you don't want a ton of survival goods and no money in the bank; you will end up selling all those toys in order to pay your rent when you lose your job. First (and everyone should do this) prepare for a job loss, cut needless expenses and save as much as you can. If you are in a year to year lease always keep an eye on cheaper apartments in your area as you may save $100 or more per month by moving (be careful, ask the neighbors how often the rent is raised as you may exceed that savings in a year or two if your current place raised the rent 5 years ago but the new place does it every year).
People everywhere should take care of their health so I often leave that out; but if your insurance covers eye glasses and dental then get your teeth fixed and buy new glasses as soon as your insurance allows because your next job may not have an insurance plan.
Apartment preppers are basically preparing for short term emergencies so don't bother storing any 'live off the land' gear if you don't have the space for it. Get good battery sipping flashlights, headlamps, lanterns. Big Buddy heater can be used indoors. If you have oil heat and electrical power then an electrical heater can cover your heating needs if the furnace goes down but the electrical is still on.