Short answer
No, you cannot move a document directly between Indexes in AskTuring.
Full explanation
AskTuring does not currently have a feature to move files from one Index to another. If you want the same file in a different Index, you will need to upload it again into that Index.
However, you can move files between Folders within the same Index. This makes it easier to reorganize your files without needing to re-upload them, while still keeping the Index boundaries intact for security and accuracy.