Here's a thing though. As absurd as it is: If we should beat Arsenal tomorrow, we'll be 3 points off the top. And will have had a better start than most of our main competitors. Better than City, Liverpool and Chelsea, about as good as Arsenal and almost as good as Spurs.
Because after 6 games, you have to take into account the quality of the opposition teams have faced. On that basis, arguably no team in the league has had a worse start (ie dropped more bad points) than Chelsea and Liverpool. City has dropped 4 points they definitely should not have been dropping. Arsenal must and should expect at least a point at Trafford, and while they have won their first 5 games, none of them have been against teams they should drop points against. We've dropped 6 bad points of course, but then again we'd have beaten Liverpool (and Arsenal, in this scenario). Of the big 6, only Spurs have gotten the points they should.
My answer to OP is obviously still no, but just saying....our strongest competitors in the big 6 have had a really bad start, worse in fact than ours. And worse than the league table alone says. There's more of an opportunity here to do well than we had any right to hope for.