Can you delete questions?

Nope. Reason being, someone may have the same question in the future. So, they can just search it in the search engine and see the advice given instead of having to wait for replies. If people got to delete their questions, the search engine would suck because it wouldn’t be very populated. Questions only get deleted if they are again the Terms of Use policy. You can, as ‘thedude’ said, mark any of your questions anonymous.

Nope, but you can visit your “my questions” page and then mark them anonymous, which then removes them from your account.