Well, no you don't, not really, in fact hardly!
There are dozens of web sites that store your photos like TinyPic, ImageShack, Photobucket, Flickr, Instagram, Snapfish, Shutterfly and even cloud storage sites like Amazon Cloud Drive, Google Drive, Dropbox and SkyDrive.
In time, many of them cease to exist like Shareapic and the AOL photo sharing service.
And what if you cease to exist which is highly probable one day? Your images will end up anonymous, without owner, floating around cyberspace somewhere. This is not really providing a legacy to your families future generations is it? What if you get sick of Facebook and close it?
Get cracking now. Simply right click on those good images and save them to your computer.
This has been another archive ambition.