Spurs has made playoff 20+ seasons in a row, there is really no other franchise that is as good as them at longevity, they are also 5 time winners in that 20 year period as well. So, I do like them and I trust their capabilities as well but right now it is just too late.
There's still games to be played, and the team who will win will get the last spot in the West. Very little possibility of the Spurs to be in the playoffs now, but we know that this team won't give up, they gets better if the situation really needs them to be.
If it was regular season and there was some more games left maybe they could have but unfortunately there isn't that much game left and all of them are against high level teams so it is not going to be possible for them I believe.
I think when NBA come back, we can still consider it as a regular season since the winners (east and west) will quality for the playoff spot, the last post to be exact. It is okay though, they are still young, from Murray to White to Walker they have great youngsters, Jakob has been playing very well too, so they actually have a great young core that could get better with time, so they can miss the playoffs as long as they keep on improving with the team they have.
TBH, these young core of the Spurs now are nowhere near to the big 3 of the spurs before (Duncan, Parker, and Ginóbili). so I don't expect spurs will be successful if they will not get another star players that have already prove himself from a team he is playing with now. 
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. Turns out Ja Morrant needs to put up a lot of work, and extra effort against his former buddy or else they'll be watching playoffs from afar. 