It is possible but a bit tricky.
The easiest way I know is to use a software like Acronis True Image. This software has the option to migrate the C: drive on a new hard disk, so first of all you have to clone the C: drive to the new 1TB disk.
Once everything is done, you can remove the old C: drive and replace it with the 1 TB drive.
Finally, you can reuse the old drive as you like