If you mean can you just copy over the programs in Program Files and expect them to work, then absolutely not. All applications have to be reinstalled, although there may be ways and means where you can export the settings, or 'migrate' your system. I have no experience to say that will do the trick.
My own method would be to take a drive image. I.e. a complete re-loadable copy of your entire C: drive. Even that will not work if you are moving from 32-bit to 64-bit working. However, you have complicated things by having raid storage, and you also need to have some skills to restore to an SSD (it invariably being much smaller than the HDD you come from). Not to mention the new PC will probably not boot until you do a repair install-in-place to get the completely new driver set required.
As I see it you have no real alternative to a complete fresh OS install and reinstall of all applications. Only your data can be copied across from the backup. Emails, browser favourites and the like you should be able to use 'export' and 'import' facilities of the email package and browser.
Allow a good two weeks of hard work. Sorry, but that's what it takes. It's a good time to decide what you really need to keep and what you can leave behind.