Well it will come down to a couple of things.... but your question first.
Titanium Backup can store all of your applications and data so that you can easily restore everything when you get back up and running. That being said you should never, I repeat NEVER, use Titanium Backup to restore system application data. Only applications you have downloaded/installed yourself. You can restore everything that you have downloaded/installed easily but bad things happen when you use Titanium to restore system applications.
No to the wiping part. There is a chance you will have to wipe to get the CASUAL file to work that is needed to run in order to set up your phone to unlock. If you are on a Rooted ROM, you may have to wipe because some stock rooted ROMs don't play nice with CASUAL for some reason. If you try the unlocking method and you get an error and doesn't work, no harm no foul and nothing with your phone has been effected. Try to run CASUAL, if it works with no errors you won't lose data. If you get an error you can go from there with whatever you decide to do.