The phrase "attain immortality" is correct and usable in written English.
It can be used to refer to a person's (or an idea's) everlasting influence, either literal or figurative. For example, "Many great artists and thinkers hope that their work will help them to attain immortality."
Many artists seek to attain immortality through their art, but few would expect their work to outlast the human race and live on for billions of years.
The purpose of the Orphic ritual was to confer divine life sacramentally on its initiates so that they might attain immortality through regeneration and reincarnation, thereby freeing the soul from its fleshly bondage.
Neither the Murphy bed nor the Double-Crostic, of course, is certain to attain immortality, but each, in its limited way, has been a boon to mankind, and it wouldn't surprise us if one or the other of the ingenious pair were remembered long after it has been forgotten that the Dodgers & Giants once roamed in herds across the grassy fields.
The book, The Bone Clocks, is largely fanciful, a tale of a secret cabal of men and women who destroy others' souls in order to attain immortality.
One species has already adapted this reprogramming technique to essentially attain immortality.
To attain immortality, he performed, as penance for his misdeeds, arduous service to the community, using his unparalleled strength to support his fellow humans.
It's a monkey's paw of a legacy, to have birthed an immortal gastronomic titan but not to have attained immortality of one's own.
But its name has attained immortality on Wall Street.
Holmes and Watson attained immortality almost against the wishes of their creator.
His great-nephew Ge Hong in the next century became one of the most celebrated writers on the various technical means for attaining immortality.
The legendary era of the cowboy was over, but in dime novels and other fiction of the late 19th and 20th centuries he attained immortality as the taciturn, self-reliant, and masterful hero of the West.
