Yes. Although your access is limited. If someone sends you an Instagram link, you can view it, but won’t be able to browse the profile.
One of the most popular is a free website by the name Imginn. This site lets you search Instagram by username, but it can do far more than that. Another website called Picuki allows users to edit content and browse Instagram without ever logging in.
Anyone can view Instagram without an account in a limited capacity from any computer, smartphone, or tablet. You just have to have the user name of the account you want to view and will only get to see a handful of photos.
Yes, although it may be challenging if you have an older account. These sites have sections where you can request content removal, but you’ll need to do it for every site after setting your profile to private.