Tottenham still has the chance for the Europa League but they need to beat Leicester and on the other match West Ham defeated by Southampton.
Nearly impossible chance indeed as West Ham wont be willing to lose, a draw is enough to make them stay at the 6th position.
Looking at the chance to get the 7th position, IMO Arsenal has the biggest chance because they will have easier opponent compared to Tottenham and Everton.
I feel like maybe Spurs shouldn't even try to go to europa league. I know that sounds crazy but I feel like a rebuilding stage has already come for them since they are not doing great at all with what they have, maybe that was a managers fault type of deal but they need to get a new together if you ask me. This is football, they have 11 players, they can't just get rid of all of them and get new 11 players.
However there are some super expensive players on their team, like Kane and Son as the most known ones, there are few others, selling those players and getting younger and different players to start again and in 5 years having some sort of super team could be a lot better. This is of course only viable if they can take the heat from fans because fans will be super mad but let's be honest Spurs wasn't this great team before anyway, so rebuilding could work.