No, that would be the situation regarding deer. Rabbits is different. See post #40 by @25 Sharps, above.As I understood it from the boss,he can do that only if the landlord doesn't do anything about the rabbits. If it's all been taken care of before damage gets out of hand,he wasn't supposed to let people just have a wander around on the place to see what's about.
Provided he let them keep whatever rabbits they shot ( which constitutes payment) then all was above board, and the landlord did not have any right to prevent it.
