Is the speaker about to die in the poem A Valediction Forbidding Mourning by John Donne?

John Donne wrote the poem for his wife, Anne, when he was leaving on a trip to France and Germany.

"A Valediction: Forbidding Mourning" is addressed to his wife, telling her not to mourn his departure, for they are connected in their souls. He tells her that their love is so deep and true that nothing could alter it, even distance--unlike those whose love is more lust, and the only thing keeping it strong is their physical attraction. In his metaphysical way, Donne compares he and his wife to the two legs of a mathematical compass (the type used to draw circles.) He says that even though he leaves, his wife's heart will follow after him, and, in the end, pull him back. She will make his circle complete and smooth, causing him to end where he began.

It is a beautiful love poem, steeped in Donne's metaphysical style.