Oak trees are from the genus Quercus of the beech family Fagaceae and there are around 600 extant species. They are native to the northern hemisphere and includes deciduous and evergreen species which extend from coll temperate climates to tropical areas in the americas and asia.
So can rabbits eat oak tree branches and leaves?
Unfortunately, they cant eat them and may cause them stomach upset. Trees that produce stone fruit or drupes are not good for rabbits.
So they are best kept away from them.