On Tuesday, February 11, 2020 at 5:15:04 AM UTC-8, Tim Newport-Peace wrote:

Not Quite True.
Since a charged battery contains a greater total amount of energy than a
dead battery, the earth's gravity will pull more strongly on it.
But you will have trouble measuring the difference ;¬))

But seriously, no. Energy in and of itself has no mass. A an old-time watch or windup toy has the same mass regardless of whether it is wound or unwound.