If you're referring to Photobucket, then you might be able to recover some of the images by logging on your account there, if you had one. But the majority will be blocked.
They unfortunately added a paywall, blocking users' access to their old images, unless you pay them.
In the future, I'd highly recommend backing up your images through cloud storage services, such as Dropbox.
Use
https://imgur.com/ to host your future images. You can also create a user there to help you organize your images. And it's free.