If those words are to be a grand reality, it would be one of the things which would define eternity.
But in reality, nothing in existence has reached that level.
For example, those vampires occasionally spoken of in legends are not immortal.
After all, they are defective because they require stealing from others to exist.
Furthermore, the fact that their supplemental parts have to be of the same species---in this case, generally referring to humans----means that they are not versatile at all.
They call themselves the transcendent race, but that is not evolution, it is degeneration.
That which cannot function independently in perpetuity cannot be called eternal.
It is presumptuous to call something immortal if it depends on others to halt its aging.
There already exists something close to perfection which can function independently in perpetuity.
It feeds on itself and multiplies. It has no such thing as a lifespan. Old cells become food as nutrients and new cells are produced from it.
Such as a jellyfish.
However, it is perpetual only because it has no intelligence.
If having no intelligence is fine, then it is no different from gaining eternity by death.