Can I limit jstree check box to only parents with children?

I'm wondering if I can provide a checkbox only on the parent that has children with no children.

Something like this. I can select a single child, or the child's immediate parent that would select all the children.

parent01
    parent02
        parent03[]
            child01[]
            child02[]
            child03[]
                parent04[]
                    child04[]
        parent05[]
            child05[]
    parent06
        parent07
            parent08[]
                child06[]
                child07[]