No, sorry - the GAOTD apps. will only activate online in that given time period.
They will not reactivate if they are reinstalled later.
You can get the free version anytime - as far as I can see the only real diff. is that you have to run the free one manually - like you do with ccleaner at the end of every session. The free one is very good.
Of course , if you image your partition and restore the image later - the app. will still be there - same as if you use an imaging program to migrate to another hd.