My toddler suddenly hates going to the daycare?

I think you know your child better than anyone and if he's not demonstrating this behavior at home, and it's totally out of character for him, then I'd find a different day care. Kids don't just develop these stories out of thin air. I don't think a 2 year old really has the capacity to lie, so I'd believe my child over the caregivers. I would also just casually ask around and see if any of the other parents are having similar problems with their children. Best of luck!