Is it possible to get unbanned

Hi guys, My Summoner is Katarina exe. I got banned, permanently due to about 2 games worth of text that was "toxic." Ive never had any chat restrictions. Ive also had only one ban, for a day. about 1 and a half years ago. I dont feel that I'm toxic, but stress does get the better of us sometimes.

I have been playing since may of season 4, and other then my 1 day ban, ive never so much as even gotten something from riot saying i needed to improve my behavior. I have logs of times my internet has gone out, and lead me to an afk leaver buster, buts thats the extent of my "toxic" behavior. If you could get into contact with riot, and prove to them, and maybe have someone review the history on your account, is it possible that you could get unbanned. Its been a long time playing, and a lot of hours and effort put in. I feel like, not even a warning is a bit ridiculous. I've reported several people for being WAY more toxic than ive ever been. and never been notified of punishment.Again, all i ask is, is it possible with review that your account, with hundreds on dollars in skins, and more then probably half a years worth of time in games could be saved?