The Packers would have to win maybe one or two more games to have a chance at Maye. Right now it is Williams and Maye at 1 and 2. For the Packers to get the #1 pick they will have to lose the rest of their games and hope for the Cardinals and Panthers to win 2 more games.
The most likely scenario for the Packers is a pick within the 4-6 range which means you are not getting Maye or Williams unless you trade up.
As it stands right now the Bears have the #2 and 3 pick in the draft. The Bears have the Panthers and Cardinals on their schedule left and those are the only two winnable games for them. The Bears have Lions (2), Vikings, Browns, Cardinals, Panthers, Falcons, Packers and Saints left to play. That is at least 4 guaranteed losses with 3 maybe losses and 2 likely wins. The most likely scenario for the Bears is probably 3-6 for the rest of the season. That would put them at 5-12 but I think they only win 2 more games and go 4-13. I wouldn't be surprised if the Bears only win 1 or none the rest of the year. Fields will be out versus the Saints and it is looking like he will be out against the Panthers also. He may return against the Lions either in week 11 or week 14. He could also be out for the season. If Fields is out for the season I don't see the Bears winning more than 2 games and they probably only win one or none.
The Packers have the Rams, Steelers, Chargers, Chiefs, Lions, Giants, Buccaneers, Panthers, Bears and Vikings. I think the likeliest scenario is the Packers going 4-6 to finish the season. That puts the Packers at 5-12 behind the Bears if the Bears win 3 games that is which I am not sure they will. At 5-12 you are probably looking at the #4-8 pick in the draft. I just don't see a scenario where the Packers will be able to get in the top 2 pick range. They would have to play worse than the Bears, Cardinals, Panthers, Patriots and Giants. I am not sure the Packers are going to be able to do that.
The Cardinals have the toughest remaining schedule so they probably have the #1 pick all locked up right now. The Bears more than likely will have two picks in the 2-5 range.