Yes, this software is capable of moving the entire system partition on another HDD or a newly purchased SSD.
To initiate the procedure, go to CLONE, select the source partition with the operating system, then choose the target (eg. SSD) and tick the option called Optimize for SSD. Wait for the process to complete. When it's finished, reboot the PC, access BIOS and set the SSD as primary boot device and the operating system will boot normally and that's it.
You can check for additional information using the user guide provided by the developers: http://www.todo-backup.com/download/docs/User_Guide.pdf