Can you restore memory on an iphone

Only if you know the Apple ID and password that was used.

Most likely, the AppleID of the official owner of the device. Note that since you can own more than one Apple product, your unique AppleID can be used to register and control them all.

If the phone is not yours and you cannot set it up again, the real owner has triggered Activation Lock and it is now useless till said owner releases it.

If the phone is yours but you had not set up your AppleID to register it, a nasty prank has been played upon you.

If the phone belongs to a business and the sysadmin did not properly register it, you will have a lengthy process with Apple to prove ownership and recover control.

As for restoring, once you have real control of the device you will still need to have access to a backup of it, either on iCloud or locally on a computer running iTunes. If none is available, you have an as-new phone to set up. The previous contents will be lost for good.

Assuming you are not locked out of device by said appleid it may be possible.

If you had icloud turned on or synced with a computer before your phone was erased you may have a backup containing your data.

Here are the instructions on restoring from a backup:

Restore your device from an iCloud or iTunes backup - Apple Support

Perhaps you could provide a little more information to help us help you. Whose iPhone are you referring to? If it is yours, are you the original owner? If you purchased it used where did you buy it? What exactly did you see on the iPhone when it was "wiped?" If there were any messages or notifications please provide them here exactly as they appeared.