The solution you may choose to download all photos from the account significantly depends on whether you are the owner yourself or want to download someone's Instagram photo.

Account holders are entitled to opt for Instagram’s data download feature to export their content. Just tap the menu icon and go to Settings. Select Security right after and proceed with Download Data. The platform will ask you to enter a valid email address and share a link on it to download your data within 48 hours.

Those who would like to keep content from somebody else’s profile can also get it covered. The service offers a special paid feature that enables saving in bulk. Just put a username into a search bar and have the whole album downloaded on your device in a click.