Try engaging him in small talk.
This guy is seemingly just trying to be friendly. Asking you the same questions each day is a bit unusual, but perhaps it means he is not so comfortable in social situations and doesn't know how to make "normal" small talk.
I would try engaging him in conversation so that you get to know each other more and perhaps can have something more substantive to chat about for a couple of minutes each day.
The risk is that by engaging him you end up talking a lot more, but you said that you like him, so this isn't necessarily a bad thing.
Ultimately, if the lunch questions don't stop, I would just try to tolerate them.
The questions are only for a couple of minutes, are friendly, and are not offensive or inappropriate. The only odd thing is the repetition. I don't think this raises to the level of needing to take action to stop it. I would try to think about how I could change my attitude so that it bothers me less.