Yes, this is possible. However, if you are extending the base, you will most likely need a Building Regulation approval (only conservatories below 30m2 are exempt). To comply with Building Regulations, the existing base may need to be insulated. Any extension to the base will need to comply with Building Regulations and some underpinning of the existing base may be required. You will need to consult with your Building Regulations Approver before commencing basework.