Hopefully the power won't be out that long, but I know there is a LOT of devastation in parts of New York and New Jersey... I'm glad you are relatively safe, anyway.
Here are some other food suggestions....
Canned veggies aren't too bad cold... some kids don't really like hot foods, anyway.... canned green beans, canned peas (yuck, I know), canned carrots... all are pretty easy to eat by that age.
Just about any canned food is fully cooked, and can be eaten cold... not as appetizing, but it is doable.....
Canned fruit, like peaches or canned fruit cocktail are good....
ripe bananas broken into chunks?
Cereals.... just about anything that he can pick up and self-feed would be good...
Cubed cheese?
Do you have a cooler you can put some ice in and keep a few other things that need it cooler? You can buy ice every day, if necessary.
Yes, the problems with the asthma and needing the nebulizer is a real issue... thankfully you have found out that you can come to the police station as needed to give him his treatments.
Someone suggested the gerber graduates, that is a good idea, too....
Game suggestions.... sing some of the older singing games, like row, row... hold his hands and "row" him back and forth.... the kids usually love that!
Any of the older singing games.... "I'm a little teapot", "Wheels on the bus", "Eensy Weensy spider" ....heck, any Christmas carols... make up hand signs to go with them....(I know, it is too early for Christmas, but in a situation like this, any songs will do...)
Do some fun "make believe" have you both crawl all over the floor, acting like a cat or a dog...... Peek-a-boo behind a blanket.....
Ask the people at the daycare for some songs and finger-play suggestions.. they might have some fun ideas for you, or a book you can borrow.
Good luck!