2 Months, Old Kitten doesn't eat dry or wet food

Try lactose free milk, or goat milk. If he drinks it, mix a tiny bit of canned food in his milk so he gets a taste for it. Increase the amount of food over a few says.
Boiled or roast chicken (no salt or season) chopped up and mixed with cat food, also UNSALTED sardines.
Raw egg yoke mixed with a teaspoon of cultured sour cream seems to entice even the picky or sick cats, and it's high in fat, protein, taurine... things that are good.😻
Check his sense of smell, cats are very dependent upon smell to tell them if something is edible and they have excellent olfactory abilities.👃😆
Most cultured dairy is better than regular cow milk, most of the lactose is consumed by the culture, but don't give anything sweetened and check their poo to make sure they don't get runny.

You should contact your veterinarian. They have special canned food there that usually gets a cat to want to eat it, because it smells so good. They give it to sick cats who won't eat.

Catering to the cat, and giving her boiled eggs, will probably fixate her on that one food, and eventually she won't like any other, and can develop brittle bones that will just snap when she jumps or moves the wrong way.

It is all right to let the cat be hungry for a day or two. She will be much more inclined to eat the canned food.

The vet is the best option. They would have seen it before and know what to do. Do not delay.
Although egg is a good source of protein, they cannot survive on it.

I don't think I would feed the cat human food unless u are all was going to do this. Just put wet foot around it mouth and wait.

please go to a pet store. they have special milk for kittens.

maybe mix the egg with a tiny amount of cat food and increase slowly the ratio

Mash the egg add some things in it that might help its nutrition.

Will he eat if you help?