Can I transfer shares between my Invest and ISA account? May 19, 2020 07:38 Updated At the moment shares cannot be transferred 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? Can I lose more money than my deposit? Why is the order price displayed different to the price I paid? The current price is above my average price but the return is negative. Why is that? Can I transfer part of my ISA?