They'd need a hell of a lot more than that to knock on that door.
They started last season and ended last season pretty well. After losing at Arsenal in late September they won 5 out of 7 premier league games and got a 0-0 at Chelsea.
They ended last season with clean sheets at home to Arsenal, Man. United, Chelsea and Liverpool and a good 2-2 at Spurs on the final day. The problem was going into a three month meltdown after that unlucky loss at Anfield.
When Mourinho was sacked after the Liverpool defeat in mid December, Man. United were 6th and only two points ahead of Everton. Problem was Everton then barely won a game until March and Man. United won 9 straight in the league so that was the end of that.
I'd say 54 points was still solid first season for Everton. Problem is now the bar has been raised not just to win the league or finish second but to even finish 6th. As we know Man. United, Arsenal and Chelsea were poor for chunks of last season. They all still got more than 65 points.
In 04/05 Everton finished 4th with just 61 points (6th was Bolton with 58). In 08/09 we finished 6th with 62 points. Spurs finished 5th with the same points total a season later.
Now either the top 6 as a whole have massively improved (which is totally at odds with how poor 3rd-6th were at end of last season) or the mid table and bottom half clubs have got much worse butI do think teams like Everton and Leicester (Wolves will drop points because of Europa) should be challenging for 6th much more than last season. They both have some really good players in their 11s, at least as good as in many of the top 6. Mentality holds them back far more than talent.