Is it possible to replace an existing Android free app with its paid version

Is it possible to replace an existing Android free app with its paid version

Hi guys i have made an app free version and paid version.
I was wondering that, Is there any way i can replace the free version with
the paid version during istallation.
*Consider this Scenario*
The user has already installed the free version. Now he wants some added
functionality which is only available in paid version. So he is redirected
from app to google play where he buys and installs the paid version.
Now he has the free and paid version but we know that he will now use the
paid version only so i was wondering on how to replace the free version
with paid version.
I know i can acheive this by inApp purchase but is there any way around
it? How to uninstall or overwrite the free version automatically when paid
version is installed?
Is it even possible?
Should the package name for both be same or different if its possible?