For the Premier League title issue for Man City, it is impossible for them to achieve it because they now have a fairly large number of points difference from Liverpool. The hope that can be pursued is how Man City can qualify for the Champions League with the availability of slots for next season, but if they are unable to perform consistently, then that opportunity will also be difficult for them to achieve.
For qualifying for the Champions League next season, I think it is still very possible for Manchester City to achieve because the ticket slots to the Champions League in the Premier League this season have increased to five so that Manchester City's chances of being able to reach one of the positions in the Champions League zone are getting bigger because Manchester City is currently in sixth position in the standings. But Manchester City must also be able to increase the number of points in the remaining matches this season so that other teams do not overtake them in sixth position because Aston Villa is also only one point away from Manchester City at this time.
Seeing how Manchester City plays and their current results these few periods, I can't really say for sure that they got a chance to qualify owning to the fact that Newcastle and Chelsea are up ahead of them, unless Chelsea or Newcastle drops that's the only way Manchester City can achieve top 5 this season. I'm still not sure too if City can be able to win their remaining games, if they do then they will surely qualify but I doubt if they can. Pep will have to settle for Europa League next season while he fixes his team.