Yes, I think they have announced Manchester City vs Arsenal and one other fixture on June 17th (don't treat as gospel and certainly don't buy a ticket). I haven't read anything more about it, nor about the Championship.
From a purely footballing angle that is probably the way to go otherwise there would have been all sorts of convoluted methods of awarding titles, promotion and relegation and play-offs.
Rugby Union has had no such inhibitions!
The only uncertainty is whether the clubs who want to finish off the Gallaghers Premiership will get their way, but nothing is yet writ in stone. All a bit pointless in a way, as Saracens were formally relegated and Newcastle promoted to the Premiership.
The Championship, AIUI, will not be completed; Richmond have been promoted into it for next season and the ailing Yorkshire Carnegie relegated to National League 1. Yorkshire Carnegie appear to have renamed themselves Leeds for some reason.
Following on from that, the 2020/21 consists for National League 1 and National Leagues 2N and 2S have now been firmed up and published online.
Further down the food chain, the South West Rugby Pyramid has now finalized the make up of its divisions for 2020/21, after all the usual horse-trading and sideways movements, and is busily compiling a fixture list. The mandarins seem confident the new season will get under way in September. Hinckley RFC have this year drawn the short straw and been dumped in the South West structure which, at the current rate of progress north-eastwards, will be encompassing Sheffield before too long!
I am happily updating my spreadsheets for next year - there are at least two new clubs entering the fray, and one that folded last year has resurrected itself.
On the soccer front locally, there has just been a deathly silence, which is about par for the course.
One interesting point is that for all this talk about 50 - 60 professional soccer clubs going bust - none have yet!