The correct option is B anything
The speaker is asking for food to eat, and it doesn't matter what food, but in general, if there's food to eat. From the options we can see that an indefinite pronoun is required here. Indefinite pronouns (someone, anything, one, none) refer to a person or thing in a general way, and is not directed towards a particular person or thing. From the given options, 'anything' is most suitable, since it refers to a thing, 'any' means it 'does not matter what' but a thing, to eat. Hence option B is correct. 'Some' as a pronoun refers to an unspecified quantity of thing/things, or a person and should be joined with 'thing' or 'one' (something, someone). Since it isn't in complete form here, 'some' does not answer the question 'what?'. Hence option A is incorrect. 'No one' refers to 'no person', whereas the speaker asks for any food item to eat, unless he's a cannibal, he wouldn't ask for a person to be eaten. Similarly, 'anyone' also refers to a person, and the speaker in all probability has no intention of eating a person, hence options C and D are incorrect.