No – this is a common misconception but the ‘shared’ aspect of the scheme simply means you’re sharing ownership of your home with a housing association.
If you decide to buy a Shared Ownership home, you’re effectively purchasing a portion of a leasehold property. Your initial share will be between 10% and 75%, depending on whether you're buying through the new Shared Ownership model, paying a mortgage on the part that you own and a below market value rent on the remaining share.