Chelsea are going to find it difficult except they put out extra ordinary performance in this few games left. Half of the matches remaining will be played against tough clubs like Liverpool, Newcastle and Nottingham Forest, I never included Fulham as we know how sometimes they refuse to get beaten by big teams.
When it gets to limited games left for the season even the season underdogs begins to play better. Nottingham Forest lost 2 games in a row and still directly under Arsenal, all teams are trying their best but I only can speak of a team I see that has done so well beyond expectations.
They most likely won't be able to reach Newcastle, and I doubt that City will give them their place in the top 5, for Guardiola, 5th place in the Champions League is a gift of fate that he must take advantage of. And Chelsea are apparently simply not ready to stay in the Champions League zone, losing points in matches with Brentford and Ipswich is too much of a luxury for a team that is going to play in the Champions League, in the UFA they do not forgive such mistakes.