It is not completely out of the question, but it does require us winning all of our remaining games which is unlikely.
Everton lost tonight. If us and City can both go there and win (maybe unlikely, but not at all impossible) then we'll be ahead of Everton so long as us winning grants us a better goal difference than them (which it really should). Arsenal have the FA Cup final to fit into their calender, and while I expect them to not drop enough points, again it's entirely possible that they would.
Maybe I am clutching at straws, but the players should definitely be gunning for this last chance with a glimmer of hope.