Is there a way to query Graph QL to find all instances of a field name?

Question

Given data with unknown structure, I would like to find all instances of 'label'.

{
    label: 'test',
    ...,
    child: {
       label: 'another test',
       ...,
       child: {
           label: 'more info',
           ...,
       },
       child: {
           no-label: 'I do not have a label field',
           ...,
       }
    },
}

I would like to return something like the above, just w/out the "other" fields because I would need to know "where" the labels are. The trick is that not all items or children will have a label and the specific structure is unknown at query time. (there may or may not be children on any item, etc.)