The last one is not in case of "if asked if there is any honey"
- Yes, there is honey = Так, мед є ~~> Is there honey?
- Yes, there is honey here = Так, тут є мед ~~> Is there honey here?
- Так, мед тут = Yes, [the] honey is here ~~> Where is honey?
I do agree that the sentence with "the" is much more common, but it's still grammatically correct without "the".