I mean, it could. Baseball's also a game of luck. This roster is flawed, but it can play much better with certain tweaks and/or breaks. Sale and Houck come back healthy and effective, they get a stopgap SS and he catches fire, which allows Story to come back sooner as a 2B (and we assume he hits, as this is an exercise in luck). They go out and add a #3 type that stabilizes the rotation, and this roster can compete.
It's hard, but not impossible. The problem I see is that sometimes it's more of an exercise about whining and/or attacking Bloom than serious baseball discussion. I've been one to say that this team has the mark of a bad team, because of roster construction, and the fact they hadn't hit and pitch at the same time until this weekend. However, I also see that with certain tweaks, they certainly could catch fire and steal a wild card. After that, it's everything and anything goes.