False.
Multiverses exist independent of your experience of them.
There is a universe in which you died yesterday, and a universe in which you will die tomorrow.
You don't have the ability to transfer your consciousness to either of those universes, and you will die when you die in your own universe.
Energy cannot be created or destroyed, when you die, the energy which makes you goes into the soil. Or gets burned and goes into the atmosphere.
It does not (and can not) jump to another universe.
That's poppycock and something you can tell yourself to make you feel better about your own mortality.
Now, an argument for subjective immortality can be made: that you were not conscious of the passage of time before birth and will not be conscious of the passage of time after death means the timeline in which you currently inhabit is the only time that will (to you) exist.