Ideally support staff in group homes should be encouraging and supporting disabled people living there to fulfil their aspirations. So if there isn't a direct contradiction between the person's assessed care needs/plan and their employment I can't see that living in a group home should pose a barrier to working.
I think the real question is what impact will working have on the person's benefits. You could use the benefit calculator to try to get an indication of this:
Hope this helps
Jean Merrilees BSc MRCOT
You can read more of my posts at: https://community.scope.org.uk/categories/ask-an-occupational-therapist