Are you asking whether it is possible or acceptable to write a paper based on life experiences? Possible, yes! Indeed, the best and most fresh writing usually occurs when students choose topics based on their life experiences.
But perhaps you are asking whether it is allowable to include personal life experiences in a sociology paper. Generally, yes. But you should ask your instructor. Probably s/he will want you to write about the idea of culture shock, as described in your textbook or an outside reading, and then illustrate the idea by describing your own experiences.
Some students worry about writing in the first person, as one needs to do when writing about personal history, in a school report. Just check with your teacher if that worries you.
And then yes, please do post your draft essay here for feedback.
Simone, EssayForum.com