Instagram has been working on a way to make instazoom profile pictures bigger in the app. With this feature, you can see more of a person's profile picture by tapping and holding on it. It will also help you find people faster. This feature is still in the early stages but should be available in the coming weeks or months.
Before trying to enlarge profile pictures on Instagram, you should check the size limits. You want to make sure you don't exceed the app's maximum pixel limit. Otherwise you will have a blurry picture. Another option is to use third-party apps to add filters to your photos.