I think it would be safe to assume not. The presence of dark energy is inferred on cosmological scales - the Galaxy is tiny by comparison. Dark matter does affect the stellar rotation curve of the Galaxy, but given the timescales we are talking about I would be surprised if Galactic rotation is modelled. The Galactic Year is over 200 million years (with a 10 per cent error) so things will have barely moved at all in 1000 years time. The only reason to model rotation would be if you could speed up time in game, but one would assume the multiplayer nature of the game would make this impossible.
The Galaxy in 1000 years time will look virtually identical to the way it does now, and even if you play the game for the rest of your life any change in stellar positions will be too small to bother about, especially considering the uncertainties in contemporary measurements. I would be surprised if Frontier are bothering to implement proper motions for example, and this is an effect which dwarfs the influence of DM on the timescales we're talking about.