It is not a good idea to use your last paystub to file your income tax return. We can't guarantee your taxes will be accurate if you try to file without your W-2.
There is important info on your W-2 that may not be on your final pay stub.
It would be best to wait a couple of weeks to make sure your taxes are completed properly so that you don't have to file an amended return if the information from your W-2 and pay stub does not match.