No, you can't. The easiest way to summarize how to avoid getting banned is, as a fair few have said; "don't be a dick". Don't flame your teammates, don't troll to make your teammates lose, don't intentionally feed, etc.
In all honesty, you should take your 14-day ban as time to reflect on what got you banned in the first place, because if you don't straighten up, you're going to be permanently banned.
And, also; having multiple accounts isn't ultimately the "better option" when faced with a potential permaban, since, if you don't learn what it was that got you permabanned in the first place, you'll just keep getting punished on your new account(s).