No, as far as I know importing an object in Investment status into a new database cannot be done directly. However, it is possible through a workaround:

Data Repair (DR): A Data Repair can be added to the system.
Migration Job: Once the necessary changes are made through the Data Repair, a migration job can be used to transfer the object into the new database.
Since this involves financial data handling, it is advisable to refer to the Finance Portal for additional guidance on investment-related transactions and any financial compliance considerations.