It's possible but I have seen no compelling evidence of immortality. It is the one fruit mankind has always strived to obtain. I tend to believe in
reincarnation though and that is how I would like to believe we maintain a semblance of immortality.
Peter Carroll's Liber Null (one of the founders of the Illuminates of Thanateros and one of the more prolific chaos magicians) has an interesting
final passage on the Three Rites which supposedly facilitate the continuation of consciousness in other bodies after death.
The White Rite involves at the moment of death intense visualization of a sigil and finding a random fetus to inhabit as one's spirit leaves the
body.
The Red Rite (from a male perspective) involves finding a strong woman as one starts to die to consort with and love. She is impregnated and the dying
magus becomes the spirit of the unborn child.
The Black Rite (the most interesting) involves the forceful taking over of the body of someone living. This was one mentioned as being dangerous,
unreliable, and leaves the memories of the possessee intact for the possessor. Not much more is said about this.
The last one if particularly intriguing to me as it deals with an area ithat I tend to really like involving transformation and body transfer magick.
I have heard stories of temporary soul transference where people switch very briefly after OBEs and much concentration, but not much beyond that,
though there is some extant literature on it.
Not sure about immortality per se, but there are other ways to accomplish the same thing in practice.