I think we could run into the Farragut since we're at roughly the same time frame that Kirk is serving aboard the ship as a lieutenant. The Tycho IV disaster happens sometime in 2257 and Season 2 of DSC will launch sometime during late 2257.
That doesn't leave much time for Discovery to encounter the Farragut before such a large chunk of her crew is killed off by the dikironium cloud creature but there is some leeway in the chronology to let the two starships meet up before Captain Garrovick dies.
That doesn't leave much time for Discovery to encounter the Farragut before such a large chunk of her crew is killed off by the dikironium cloud creature but there is some leeway in the chronology to let the two starships meet up before Captain Garrovick dies.