No, it is probably 28 to 38 thousand years in future... No one knows exactly in universe probably besides emperor... Now for most purposes dead... Full timeline

No, it is probably 28 to 38 thousand years in future... No one knows exactly in universe probably besides emperor... Now for most purposes dead... Full timeline isn't exact. Warhammer world, could theoretically be single planet unseen somewhere in 40k, but more likely one of alternative universes with such as Blood Bowl. 40k suffers because most well-known character aren't well that human anymore. It goes for aliens, but also for Emperor, and Primarchs and Space Marines. Still there is lot of room for more human stories, butt they are often played for comedy or the grimdarkness. Or even almost lovercraftian horror...