Little Owls are not native to Britain. They were introduced in 1842, by a man named Thomas Powys. Since this time the Little Owl has become naturalised. They are wonderful little creatures, but the temptation to cuddle or stroke one is a big no, no. Owls don't usually like being cuddled or stroked - even the ones tamed to human keepers or falcon trainers.
They are at their best in the wild though some reside in rescue centres and get to be flown. Tame ones need to be flown because there is a weight balance that they must fit into. This weight is easily maintained in the wild when hunting for food. In captivity they can become over weight very quickly if not exercised. They are high maintenance creatures and don't make the best pets. The wild is always better for them.