First off all I would like to point out that since the last update savegames are no longer per profile. You don't have profiles anymore (sad but true...)
Secondly I think you certainly can transfer savegames.
Just look in the directory C:\Users\%username%\AppData\Local\Larian Studios\Baldur's Gate 3\PlayerProfiles\Public\Savegames\Story for the save you want to copy, and transfer the directory found.
