WhatisIcloud wrote:
We performed migration assistant from a small Mac Airbook to restore an imac computer (#1) whose hard drive we had to wipe. Unfortunately the other functioning imac (#2) in the house with the same apple id was wiped and the migration took place on that one too. WIthout Time Machine set up is there anyting we can do to get the functioning imac's (#2) info back?
[Re-Titled by Moderator]
It sounds like you accidentally (unintentionally) "wiped" iMac #2 and migrated from the MacBook Air to iMac#2. And now you want to restore iMac #2 back to how it was ... but you have no backup to restore from?
With no backup of iMac #2 to restore back to it, your only recourse would be to take the iMac #2 to a data recovery service. If this was a very old iMac and its internal drive was the older HFS+ format, SOME of the original files might be recoverable. But most likely it has been using APFS format, which means this is almost impossible to do. In addition, the unintended migration from the MacBook Air has already written data over the original data in that iMac #2. The data recovery services can cost $thousands and it sounds like in this instance the chances of success are very low.
As others have pointed out, having backups is essential for unexpected mishaps (you have just experienced one). I have ~ 3 physically separate backups of all valuable computers/files plus store important items in the cloud (a combination of iCloud Photos, iCloud Messages, Dropbox, online backup, etc.).
Even having a Time Machine backup connected at all times is not immune. I have seen (once) a power surge damage a computer plus the backup drive connected to it. So if that happens, the originals plus the backups can all vanish in an instant. I have seen homes damaged by flood and by fire. And then there is always a chance for human error (what happened in your case).
Back to your original question: if you truly "wiped" the drive (erase/format) and have no backup, I believe that data is not recoverable, especially if files have also been written onto the erased drive.