No. You can't just pick and choose what gets moved because you're OS will have references to applications on the C-drive that are no longer there. These references are all over the registry and in other config files as part of the OS.
The easiest way to do this would be to save your data/media (music, video, documents, saved games) files off to an external device, uninstall your apps, clone your HDD to the new SSD (since it should include only your OS at that point), make sure you can boot to the new SSD, format your old HDD, then reinstall your apps to the HDD.
how would I clone it to the SSD?