The woman that sits next to me does this all the time. It's either, "hey can I have some of that" or "Didja bring enough for me?" She has actually wheeled over to me in her chair with a napkin and said, "Just put some of that right here" no "May I please have some" or anything. The last time she did it, it was chicken and rice, and I told her I didn't have another fork and she said, "No problem, I'll eat it with my hands" and did.
She heard someone order lunch one time ( the other person ordered a whole pizza. She has twin 16 year olds and said her leftovers would hold them at bay while she cooked dinner ) and she told her she'd split the pizza with her instead but she didn't have the money today. She's so overbearing and loud it's almost impossible to say no to her and no come off as crazy as she is.