Well Yes & No while you can create a RAID 5 array on one RAID controller when you move it you will have to setup the RAID array again as the controller card needs to be programed as to how it is going to be working.
IF both Cards Support RAID 5 then it should be possible to move the array but really it is much simpler to just set up the array on the unit that it is going to be used on. The previous only applies to a Data Array as if there is an OS involved in the setup you'll need to install all the proper drivers again so it is easier to do a clean install and setup the array as you go along.
But if you are moving a RAID Data array from an old unit to a new server it should be possible but make sure that you have all your backups up to date before you even attempt the move.
Col