He will eat the sandwich; if nothing else, Jesus spent money on it, and someone else brought it here, and K never wastes food. And he doesn't argue the compromise in turn seeing as how they're making one about arrangements.

But he does raise a hand before Jesus starts to move off the bed, offering it palm up, fingers relaxed. He doesn't try to touch Jesus or block him. This is, very much, a question and a tentative offer.