Yes you can, providing different details (including financial). Using different Ip's for registering - give a go on Combo FoxyProxy+TOR and using a different website (mind your host). and pray for god Google dont catch you. If everything works fine, please dont click again on your ads. It's like homeless begging for cents.
before attempting a new identity I suggest contacting support and letting them know you didn't know you weren't supposed to click your own links, it won't happen again, blah blah blah. Kiss up a little bit and you should be fine. Unless, of course, you were clicking your own links while knowing it was a violation...in which case... uh yeah.
It is unfortunate that google adsense is very quick to ban in case of first time accidental clicks. However, a site that has a lot of adsense on it has copied by 10 blog posts. Despite complaining to google adsense 4 times, I never got any response.
When I first started using adsense I used to do dumb things like click my own ads from time to time and they never banned me, I think you have to do it a lot to make them ban you, I mean if you click 1 ad a day every few days I don't think they'll ban you right away, also they usually automatically filter out clicks from your own IP.
You are completely right. politics aside google doesn't ban from one or dozen clicks coming from the same IP (what would happen to companies sahring Ip's?) Dont try to be smart and contact Google as you didn't know. Probably if they banned you it means ban for life because you deserved it. Clicking your own ads is stealing is bad for everyone. The game becomes more expensive
I think you are talking about adsene. For this you may go to http://forums.digitalpoint.com/forumdisplay.php?f=27 Adword doesnt disable your account. Its only in adsense if you make invalid clicks to your site... Hope this helps....