Can I transfer shares between my ISA and Invest account? At the moment, you won't be able to transfer any stocks and shares between the ISA and Invest account. You can, however, transfer cash from the Manage Funds section found in your Account Settings Menu. Related articles Can I move funds between the accounts? Do I own the shares that I purchase? Can I transfer my shares from/to another broker? What is an ISA? Can I transfer my ISA to another broker?