While a blockchain can cryptographically prove which address a token belongs to, if this token represents a digital image then it is likely the file displayed is stored on a server that may not have/keep having the data availability of a mature, socially distributed blockchain.
To prevent losing this image due to unforeseen reasons the simplest way would just be to right-click + save to your computer. Another way would be to also setup an IPFS node and pin the images.
To do this: