Not always, only if it's more powerfull than 7,5 Joules and used outside your property(only for plinkin...),
then if you're within your property, no one has the right of doin anything about it.
You can go shootin also to friends' land but the point is you need firearms permission to take it out your home!!!
It's not mentioned in any law the hunting with air powered weapons but in your land it'not precisely prohibited to shoot some animals.
We dont have pests or would be better to say we do have but it's not recognised as a problem!?!
It's so complicated to have a full power air rifle that any way you try there's always something wrong,so I bought it in another country and solved the problem!!!
Whatever will happen I'll just say "I didn't know"