Look, it's not likely - but there is a chance. Assuming the Cubs hang on to first place (I know, it is not a safe assumption for anyone in this division), then we only need to make up 4.5 games in the next month to have a chance at the division going into the final weekend.
We are 6.5 behind the Cubs as of today (August 28th). If we can trim that to 2 gb one month from today (September 28) then we would overtake the Cubs with a sweep in the final series we have at home against them (Sept. 28-30). Trim it to 1 gb by the 28th and 2 out of 3 over the Cubs in the final series gets you a one game playoff.
Again, not likely with the 3-5 starters we have, but stranger things have happened.