I have a search bar that I would like the user to ask a question with, and it is to be searched using Stack Overflow. Is this possible?
There is a Stack Apps app which enables cross-domain search of Stack Overflow:
StackUnderflow.js is designed to be used within your own sites, enabling you to easily include Stack Exchange information on your sites.
It also adds the ability to search the content of questions by abstracting away an Ajax Google search for you. This enables some powerful capabilities, such as:
Display questions that link to your blog.
Display questions that link to the current blog article.
Display questions related to keyword or tags on a bug tracking site.
Display questions related to a feature directly from online documentation for your products.