This search page will show you the page a specific private key is on.
That means if you're curious which page your wallet is on, you can look it up.
But typing in your own private key on a random website isn't a very good idea.
You can only search for wallets that you know the private key of, so you won't have any luck recovering a lost wallet.
It is impossible to search by public key.
Instead of searching, you could also try a random page
You can use this page to look up any wallet you know the private key of. Because private keys are basically base58 strings, you can also look up wallets with words in their private key. Below are a few examples of interesting pages.
Ominous message in the private keys Less ominous message 1Boat - vanity gen example wallet