The number of teams ahead of us would pose a problem if we were down to the last 8 games or so. As it is we could temporarily go 6th if we win our game on Tuesday, with 4 of the 5 teams currently above us playing each other.
It doesn't need to be overnight and we don't even have to win every game, we just need to keep gradually chipping away at the points and by March we'll be 5th or 6th before the gameweek begins.
It's unlikely, but I'd be disappointed if we didn't have a real go at it, regardless of how short we end up falling.