SHort Answer is NO! Read the conditions of your ATT.
Long answer is the transfer from the CFC will likely not go through the same day! In Ontario it can take days at best, and most likely weeks for the transfer to be approved and completed.
As far as the ATT is concerned, the answer is no, as your ATT only covers to and from ranges, and you have to get a temporary ATT for any other reason to transport a restricted.
Regardless, once a restricted transfer is approved the store is faxed the approval, as well as a temporary ATT for you to bring it home, so all the work will be done for you when you are called and told it is ready.