Note: For those who are interested in Voyager but haven't seen the final episode, I've taken the liberty of spoiler-blocking most of this question.
The final episode of Star Trek: Voyager begins in the year 2404,
10 years after Voyager's return to the Alpha Quadrant, where it had spent 23 years.
A little later in the episode, we learn that
Chakotay had died
in the year 2394.
Much later in the episode,
Admiral Janeway explains to her past self that Seven of Nine had died in transit through the Delta Quadrant and that Chakoteya "was never the same" after Seven's death.
these deaths end up being erased by Admiral Janeway's actions, which bring Voyager back to the Alpha Quadrant after only 7 years instead of 23.
In the original timeline, prior to Admiral Janeway's actions, did
Chakotay take his own life? (He would have only been 65, which is still fairly young by 24th Century standards.)
The Memory Alpha entry on the episode only makes the following vague, uncredited comment on the matter:
The only thing that will make him keep his will to live after that [Seven's death] will be getting Voyager home. But once that has been done, he will not live long, dying well before his time.