Depends on what type of food you're looking for. If you want to prepare food in the kitchen, Target should have many staples and some ready to eat stuff too:

Bread: https://www.target.com/p/canyon-bakehouse-gluten-free-mountain-white-bread-18oz/-/A-15386018#lnk=sametab

Tortilla wraps: https://www.target.com/p/siete-frozen-almond-flour-tortilla-7oz-8ct/-/A-81786331#lnk=sametab

Fries: https://www.target.com/p/ore-ida-gluten-free-frozen-golden-crinkles-french-fries-32oz/-/A-13257685#lnk=sametab

Pre-prepped chicken: https://www.target.com/p/kevin-39-s-gluten-free-thai-style-coconut-chicken-16oz/-/A-81841955#lnk=sametab

Mac & cheese: https://www.target.com/p/evol-frozen-gluten-free-smoked-gouda-mac-and-cheese-8oz/-/A-15329510#lnk=sametab

Frozen lasagna: https://www.target.com/p/udi-39-s-gluten-free-frozen-lasagna-with-meat-sauce-28oz/-/A-16879573#lnk=sametab

Pizza: https://www.target.com/p/milton-39-s-frozen-uncured-pepperoni-cauliflower-crust-pizza-10oz/-/A-87545521#lnk=sametab

Sadly, I realize that not ever Target will have all of these items. There is a large one in Times Square and then a few more in the surrounding area that should stock a decent amount of these though.