I deported in 2006 in case of sex with my girfriend .I got 6 months on jail and deported . Now its almost 6 yrs past .do I have a chance to go back again? Or if there"s any option to do ? Like paying may ban? Or alternative ways?. thanks

Even if we knew what country to and from, I don't think we could answer this. You'd have to write about 3 pages of details. I'm surprised the paperwork you got didn't say.
You really have to apply. Do you have a current passport? Almost all countries have immigration websites.