How do you get the Season 2017 - Solo/Duo Silver?
It was a ranked reward. Riot's description in the client reads: “Earned by achieving Silver in the 2017 ranked season in Solo/Duo.”
Is the Season 2017 - Solo/Duo Silver still available?
No. The Season 2017 - Solo/Duo Silver was a ranked reward: to get it you had to reach Silver in Solo/Duo during Season 7 (2017). Riot does not give out past ranked rewards again, so it cannot be earned anymore.
