By default, the displacement BC in AIM has 6 inputs, 3 for translation and 3 for rotation.
However, whether rotations can be restricted or not depends on what kind of selection is made under location. The solid elements have only 3 degrees of freedom per node (all translation and no rotation), so if your geometry is solid its not possible to restrict the rotations directly. It can be seen as you select this solid body or some of its feature as location, the rotation controls under displacement greys out.
However, if you are working on a shell model, which has 6 degrees of freedom per node (3 translation and 3 rotation), it is possible to control the rotation through displacement input.
Unfortunately in AIM, unlike ANSYS Mechanical, there is no remote displacement option which can help you control rotation even with solid elements.