Can I hide my profile from search engines?

Not selectively at the moment — a public profile is public, and that is how somebody finds your notes from a Google search. What you can control is what is on it: your email, phone, college and interests each have their own visibility switch.

If you would rather have no public presence at all, you can use the platform without uploading anything; a contributor with no notes and no posts is left out of the site's index entirely.