The simple answer is no.
A lease of common property requires a special resolution of the owners at a general meeting, the Committee does not have the power to approve a lease of common property.
If the owners approve it, the lease must be lodged with the Registrar General. Note that a term exceeding 5 years requires a plan of subdivision, and according to the Land Registry website is not acceptable.
Essentially, you can’t use a lease to get around the requirements of the Act. After the period of the lease anything on the common property would have to go.