I guess I should say SPOILER ALERT if you haven't seen Star Trek Generations or the reboot films.
In the movie Star Trek Generations, Captain Kirk and Captain Picard meet to defeat Soran. According to the wiki, Kirk captains the Enterprise-B in year 2293 and Picard captains the Enterprise-D in 2371 (78 years later).
Would Captain Kirk have been alive when Picard was alive if he had not gone into the Nexus (per Star Trek Generations)?