Is it possible to edit privacy settings on SE? For example, is it possible for me to be able to make it so that people can't see the questions I ask when they view my profile?
The SE network is designed to create a library of high quality questions and answers. Keeping questions (and answers) linked to a user's profile gives an incentive for the user to maintain some level of quality of posts. E.g., having the history of poorly worded, vague questions that are never improved may reduce the likelihood of getting answers in the future. The proposed privacy setting would remove the above incentive, which is why I think it has no chance of being implemented.
A quote from network co-founder is fitting here.
Fear is underrated as a design element. You know what site lets people post fearlessly, 100% of the time? Yahoo Answers.
The proposed settings are not currently possible, and I expect they won't be possible any time soon. A similar proposal was made on meta.stackoverflow.com:
It had very little support; the only alternative provided was to ask the questions from another anonymous account.
Contributions on the StackExchange network fall under a rather free license: the Creative Commons license. Basically, anyone may do whatever they like with your contributions, provided they give proper attribution and publish under a similar license.
If you decide to post personal information in the public parts of our sites, it’s… um, public.
While this question might not pertain to personal information, the moral is more-or-less the same.