Stain is almost always for coloring, not finishing (not clear if you were implying otherwise). There are products marketed as "stain" which are made from linseed oil and beeswax, but they really only darken the wood a little. General Finishes sells a "food safe, oil-and-urethane-based" stain for turned wooden bowls, it says it's low-VOC and PFAS-free. Personally, I love the aesthetic of food-safe linseed or other nut/seed oils, and simply use wood of the color I desire.