MyEtherWallet is not a "web wallet". You do not create an account or give MEW your ETH or tokens to hold onto. MEW is simply an interface that allows you to interact with the Ethereum blockchain.
For security & privacy reasons, no sensitive data is saved, stored, or transmitted when you use MyEtherWallet. They, like anybody else, only have access to the information that is publicly available on the blockchain.
Unfortunately, that means they cannot:
Recover your private key
Access you account
Recover or reset your password
Reverse or cancel transactions
Recover your account
Send your ETH or Tokens from one address to another
There may be a chance that you saved it without realizing it. So, just in case:
Do a full search of your computer for “UTC-“ and see if the private key shows up.
Do a full search of your computer for your address without the 0x at the beginning.
If you know when you created it, look through all files during that time period for any documents that may hold your key or screenshots.
Generate a new wallet via
https://www.myetherwallet.com/#generate-wallet and take a look and the different options you may have downloaded or saved. Sometimes that can jog your memory.
In the future, it may be prudent to print out a paper version of your wallet and keep it in multiple physical locations.
I'm really sorry.
