1. Tuna - that's lots of mercury, even if you're not a female of childbearing age. Can you add in more proteins (beef jerky can be expensive but that's one option. Raw eggs are another option - buy a half dozen and eat all at once). You could also go for sardines and canned salmon.

2. Fats - butter is always good, but I'd think coconut oil is also an option. Avocados are too. You just need a knife and spoon for those.

3. Any reason bananas are your only produce?

i would suggest canned salmon/sardines instead of only tuna. you could also add the occasional serving of nuts.

There are a lot of other veggies and fruits you can eat for variety -- tomatoes, bananas, oranges, pears, plums, etc (depending on what's in season and available). You don't actually need utensils to eat an avocado. I would HIGHLY recommend those. In addition to coconut oil, you can also get shredded coconut (again variety).

I assume you are not allowed to have a hot plate? Have you thought of that?

Another option might be to sneak down to the kitchen once a week when no one else is around to boil up a couple dozen eggs or even throw a whole chicken into the oven. Then you can munch on those as the week goes along.

Also, see if you can find any good quality deli meats -- salami, etc. There are some that aren't full of sugar and gluten.

You can hard-boil eggs in an electric kettle ( like this) - just put eggs & cold water in it, let it boil, and let it sit for 10 mins. Thanks to Alton Brown for that tip!

Wake up earlier or go to bed later & use the kitchen. Wear headphones while cooking.

If you can tolerate milk that will help lot in your situation.

Are you allowed to have a crock pot?

I'd check to see, because you can toss alot of different things together and make a meal while you are in class.

A small toaster oven?

Can of fish, can of veggies, fat of choice, spice of choice. Mix all in a bowl, microwave (assuming you have one) until heated through. Shouldn't take more than 5 minutes to open 2 cans, walk down to your kitchen area, and microwave it to desired temperature.

In my area, some local butcher shops also sell things like canned beef, pork, chicken, etc... Precooked, you simply reheat.

Frying mince can be done very quicky, chuck in some frozen diced veg etc.

Also microwave potatoes and rice, dump canned fish into the rice.

I could not take something this grim, and that is saying something because I have spent the last month living off of bone broth and freshly juiced veggies. If you can more power to you.

In a similar circumstance I think I would do weekly pots of stew- done in the crockpot overnight (most people will not eat night foods for breakfast) then stashed and reheated as needed for the week, a weeks worth of stew is cheap and you can use frozen veggies, you can even freeze some to swap out. If you use a crock pot liner and store in disposable bags and heat in paper plates it is virtually mess free and a little more sustainable.

The other option is to find a housemate who does like cooking and just pay them off to cook for you too within guidelines and stash it for later with your name. You might not find someone who is already Paleo, but you might find someone who is willing to try. Anyone who understands some kitchen basics will know that cooking for two is not that much more trouble so this might be easier to come by then you expect.

Either way will get you more fresh food in a greater variety which is something I would prioritize over rigid compliance using repetitive canned foods any day.

Get a pressure cooker: you can hard boil eggs, cook potatoes, cook meat. It's a one item kitchen and it plugs into the wall.

Like this (never used it, just an example)

Would definitely add some sardines, anchovies as well to add some quick protein to whatever meal you are eating.

If you are including dairy, definitely get yourself some full fat greek yogurt. Add in some berries, if you are low on calories for the day, sprinkle in some nuts.

Another great option for situations like this is frozen burger patties and Applegate cold cuts (ham, turkey, roast beef).'

Also get a few cans of coconut milk. Can use for smoothies (once again I try not to make smoothies often, but can be great for quick calories, or situations where you can't really cook), deserts, etc.

I would not think that a diet consisting entirely or primarily of canned tuna, bananas, and butter would provide anywhere near optimal, or even adequate, nutrition. You do have to pay some attention to vitamins and minerals, not just macronutrient balance.

There are plenty of other options that can be stored (for at least a few days), prepared, and eaten at room temperature. Look at raw vegan recipes. Not that I'm proposing a raw vegan lifestyle, but it will give you plenty of options that don't require more than a knife and cutting board. If you have access to a refrigerator, crock pot, or toaster oven, your options increase even more.

I cook everything I eat, which is pretty much just steak and potatoes, with an indoor electric grill and a toaster oven. Stoves, microwaves, refrigerators, and dishwashers are nice, especially for big families, but for a single guy they're not worth it IMO.

If you're concerned about mercury, chunk light is supposed to have significantly less of it... plus it's a lot cheaper than solid!