The issue will be whether Turkish Airlines will allow amendments for the type of ticket you have booked. If they will then I can't see TR refusing to let you do it, but if the airline doesn't allow amendments then you there is nothing that you or TR can do about it. If that is the case you will have not alternative but to cancel and re-book.
Again, depending on the type of ticket booked you might only get a refund of the taxes paid but nothing more. Also, depending on your reasons for changing the flight you might or might not be able to claim against your holiday insurance for the cost of the cancelled flight. The thing you need to remember is that your contract is with Turkish Airlines, not TR, so you need to check their T&Cs for type of ticket you hold to see if amendments/changes etc are allowed. You should find the info on your ticket.
SM