No, you will need an Aeronautical Radio Station Operator’s Certificate of Competence which will require another exam. That will then be required to be signed off by the Aeronautical Ground Station Licence Holder.
You need to read CAP452
http://www.caa.co.uk/docs/33/CAP452.PDF
CAA are proposing to increase the oversight of Air/Ground Operators, details here
Consultation - Proposal to Amend ANO - Radio Operators Certifcate of Competence | Consultations and Letters of Intent | CAA